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Finding the Third Proportional to 22,309.13 and 34,543.69

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Solution

The third proportional to 22,309.13 and 34,543.69 is: 53,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.13 : 34,543.69 = 34,543.69 : x
  2. Step 2: Convert to fraction form
    22,309.13/34,543.69 = 34,543.69/x
  3. Step 3: Cross multiply
    22,309.13x = 34,543.69 × 34,543.69
  4. Step 4: Simplify right side
    22,309.13x = 1,193,266,346.10
  5. Step 5: Solve for x
    x = 1,193,266,346.10/22,309.13
  6. Step 6: Final answer
    x = 53,487.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.