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Finding the Third Proportional to 24,616.13 and 54,001.69

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Solution

The third proportional to 24,616.13 and 54,001.69 is: 118,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.13 : 54,001.69 = 54,001.69 : x
  2. Step 2: Convert to fraction form
    24,616.13/54,001.69 = 54,001.69/x
  3. Step 3: Cross multiply
    24,616.13x = 54,001.69 × 54,001.69
  4. Step 4: Simplify right side
    24,616.13x = 2,916,182,252.85
  5. Step 5: Solve for x
    x = 2,916,182,252.85/24,616.13
  6. Step 6: Final answer
    x = 118,466.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.