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Finding the Third Proportional to 24,875 and 39,387.50

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Solution

The third proportional to 24,875 and 39,387.50 is: 62,366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,875 : 39,387.50 = 39,387.50 : x
  2. Step 2: Convert to fraction form
    24,875/39,387.50 = 39,387.50/x
  3. Step 3: Cross multiply
    24,875x = 39,387.50 × 39,387.50
  4. Step 4: Simplify right side
    24,875x = 1,551,375,156.25
  5. Step 5: Solve for x
    x = 1,551,375,156.25/24,875
  6. Step 6: Final answer
    x = 62,366.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.