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Finding the Third Proportional to 15,736.50 and 24,561

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Solution

The third proportional to 15,736.50 and 24,561 is: 38,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.50 : 24,561 = 24,561 : x
  2. Step 2: Convert to fraction form
    15,736.50/24,561 = 24,561/x
  3. Step 3: Cross multiply
    15,736.50x = 24,561 × 24,561
  4. Step 4: Simplify right side
    15,736.50x = 603,242,721
  5. Step 5: Solve for x
    x = 603,242,721/15,736.50
  6. Step 6: Final answer
    x = 38,333.98

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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.