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Finding the Third Proportional to 20,095.31 and 29,562.19

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Solution

The third proportional to 20,095.31 and 29,562.19 is: 43,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.31 : 29,562.19 = 29,562.19 : x
  2. Step 2: Convert to fraction form
    20,095.31/29,562.19 = 29,562.19/x
  3. Step 3: Cross multiply
    20,095.31x = 29,562.19 × 29,562.19
  4. Step 4: Simplify right side
    20,095.31x = 873,922,929.79
  5. Step 5: Solve for x
    x = 873,922,929.79/20,095.31
  6. Step 6: Final answer
    x = 43,488.89

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Why These Related Problems?

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