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Finding the Third Proportional to 15,861.50 and 24,700

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Solution

The third proportional to 15,861.50 and 24,700 is: 38,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861.50 : 24,700 = 24,700 : x
  2. Step 2: Convert to fraction form
    15,861.50/24,700 = 24,700/x
  3. Step 3: Cross multiply
    15,861.50x = 24,700 × 24,700
  4. Step 4: Simplify right side
    15,861.50x = 610,090,000
  5. Step 5: Solve for x
    x = 610,090,000/15,861.50
  6. Step 6: Final answer
    x = 38,463.58

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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.