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Finding the Third Proportional to 15,834 and 24,721.50

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Solution

The third proportional to 15,834 and 24,721.50 is: 38,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834 : 24,721.50 = 24,721.50 : x
  2. Step 2: Convert to fraction form
    15,834/24,721.50 = 24,721.50/x
  3. Step 3: Cross multiply
    15,834x = 24,721.50 × 24,721.50
  4. Step 4: Simplify right side
    15,834x = 611,152,562.25
  5. Step 5: Solve for x
    x = 611,152,562.25/15,834
  6. Step 6: Final answer
    x = 38,597.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.