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Finding the Third Proportional to 10,222.50 and 14,997.13

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Solution

The third proportional to 10,222.50 and 14,997.13 is: 22,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.50 : 14,997.13 = 14,997.13 : x
  2. Step 2: Convert to fraction form
    10,222.50/14,997.13 = 14,997.13/x
  3. Step 3: Cross multiply
    10,222.50x = 14,997.13 × 14,997.13
  4. Step 4: Simplify right side
    10,222.50x = 224,913,758.27
  5. Step 5: Solve for x
    x = 224,913,758.27/10,222.50
  6. Step 6: Final answer
    x = 22,001.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.