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Finding the Third Proportional to 22,308.75 and 34,543.13

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Solution

The third proportional to 22,308.75 and 34,543.13 is: 53,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.75 : 34,543.13 = 34,543.13 : x
  2. Step 2: Convert to fraction form
    22,308.75/34,543.13 = 34,543.13/x
  3. Step 3: Cross multiply
    22,308.75x = 34,543.13 × 34,543.13
  4. Step 4: Simplify right side
    22,308.75x = 1,193,227,484.77
  5. Step 5: Solve for x
    x = 1,193,227,484.77/22,308.75
  6. Step 6: Final answer
    x = 53,486.97

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Why These Related Problems?

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