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Finding the Third Proportional to 24,924 and 38,425.50

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Solution

The third proportional to 24,924 and 38,425.50 is: 59,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924 : 38,425.50 = 38,425.50 : x
  2. Step 2: Convert to fraction form
    24,924/38,425.50 = 38,425.50/x
  3. Step 3: Cross multiply
    24,924x = 38,425.50 × 38,425.50
  4. Step 4: Simplify right side
    24,924x = 1,476,519,050.25
  5. Step 5: Solve for x
    x = 1,476,519,050.25/24,924
  6. Step 6: Final answer
    x = 59,240.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.