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Finding the Third Proportional to 25,480 and 38,766

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Solution

The third proportional to 25,480 and 38,766 is: 58,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,480 : 38,766 = 38,766 : x
  2. Step 2: Convert to fraction form
    25,480/38,766 = 38,766/x
  3. Step 3: Cross multiply
    25,480x = 38,766 × 38,766
  4. Step 4: Simplify right side
    25,480x = 1,502,802,756
  5. Step 5: Solve for x
    x = 1,502,802,756/25,480
  6. Step 6: Final answer
    x = 58,979.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.