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Finding the Third Proportional to 10,045.13 and 14,349.38

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Solution

The third proportional to 10,045.13 and 14,349.38 is: 20,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.13 : 14,349.38 = 14,349.38 : x
  2. Step 2: Convert to fraction form
    10,045.13/14,349.38 = 14,349.38/x
  3. Step 3: Cross multiply
    10,045.13x = 14,349.38 × 14,349.38
  4. Step 4: Simplify right side
    10,045.13x = 205,904,562.89
  5. Step 5: Solve for x
    x = 205,904,562.89/10,045.13
  6. Step 6: Final answer
    x = 20,497.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.