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Finding the Third Proportional to 5,753.69 and 12,412.69

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Solution

The third proportional to 5,753.69 and 12,412.69 is: 26,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.69 : 12,412.69 = 12,412.69 : x
  2. Step 2: Convert to fraction form
    5,753.69/12,412.69 = 12,412.69/x
  3. Step 3: Cross multiply
    5,753.69x = 12,412.69 × 12,412.69
  4. Step 4: Simplify right side
    5,753.69x = 154,074,810.97
  5. Step 5: Solve for x
    x = 154,074,810.97/5,753.69
  6. Step 6: Final answer
    x = 26,778.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.