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Finding the Third Proportional to 12,574.13 and 26,179.88

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Solution

The third proportional to 12,574.13 and 26,179.88 is: 54,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.13 : 26,179.88 = 26,179.88 : x
  2. Step 2: Convert to fraction form
    12,574.13/26,179.88 = 26,179.88/x
  3. Step 3: Cross multiply
    12,574.13x = 26,179.88 × 26,179.88
  4. Step 4: Simplify right side
    12,574.13x = 685,385,855.02
  5. Step 5: Solve for x
    x = 685,385,855.02/12,574.13
  6. Step 6: Final answer
    x = 54,507.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.