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Finding the Third Proportional to 19,141.31 and 29,116.97

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Solution

The third proportional to 19,141.31 and 29,116.97 is: 44,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141.31 : 29,116.97 = 29,116.97 : x
  2. Step 2: Convert to fraction form
    19,141.31/29,116.97 = 29,116.97/x
  3. Step 3: Cross multiply
    19,141.31x = 29,116.97 × 29,116.97
  4. Step 4: Simplify right side
    19,141.31x = 847,797,869.19
  5. Step 5: Solve for x
    x = 847,797,869.19/19,141.31
  6. Step 6: Final answer
    x = 44,291.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.