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Finding the Third Proportional to 10,471.50 and 24,700.13

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Solution

The third proportional to 10,471.50 and 24,700.13 is: 58,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.50 : 24,700.13 = 24,700.13 : x
  2. Step 2: Convert to fraction form
    10,471.50/24,700.13 = 24,700.13/x
  3. Step 3: Cross multiply
    10,471.50x = 24,700.13 × 24,700.13
  4. Step 4: Simplify right side
    10,471.50x = 610,096,175.02
  5. Step 5: Solve for x
    x = 610,096,175.02/10,471.50
  6. Step 6: Final answer
    x = 58,262.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.