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Finding the Third Proportional to 20,095.31 and 42,445.69

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Solution

The third proportional to 20,095.31 and 42,445.69 is: 89,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.31 : 42,445.69 = 42,445.69 : x
  2. Step 2: Convert to fraction form
    20,095.31/42,445.69 = 42,445.69/x
  3. Step 3: Cross multiply
    20,095.31x = 42,445.69 × 42,445.69
  4. Step 4: Simplify right side
    20,095.31x = 1,801,636,387.35
  5. Step 5: Solve for x
    x = 1,801,636,387.35/20,095.31
  6. Step 6: Final answer
    x = 89,654.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.