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Finding the Third Proportional to 24,473 and 38,897.50

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Solution

The third proportional to 24,473 and 38,897.50 is: 61,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473 : 38,897.50 = 38,897.50 : x
  2. Step 2: Convert to fraction form
    24,473/38,897.50 = 38,897.50/x
  3. Step 3: Cross multiply
    24,473x = 38,897.50 × 38,897.50
  4. Step 4: Simplify right side
    24,473x = 1,513,015,506.25
  5. Step 5: Solve for x
    x = 1,513,015,506.25/24,473
  6. Step 6: Final answer
    x = 61,823.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.