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Finding the Third Proportional to 25,442 and 38,920.50

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Solution

The third proportional to 25,442 and 38,920.50 is: 59,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,442 : 38,920.50 = 38,920.50 : x
  2. Step 2: Convert to fraction form
    25,442/38,920.50 = 38,920.50/x
  3. Step 3: Cross multiply
    25,442x = 38,920.50 × 38,920.50
  4. Step 4: Simplify right side
    25,442x = 1,514,805,320.25
  5. Step 5: Solve for x
    x = 1,514,805,320.25/25,442
  6. Step 6: Final answer
    x = 59,539.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.