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Finding the Third Proportional to 29,089.13 and 38,085.19

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Solution

The third proportional to 29,089.13 and 38,085.19 is: 49,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,089.13 : 38,085.19 = 38,085.19 : x
  2. Step 2: Convert to fraction form
    29,089.13/38,085.19 = 38,085.19/x
  3. Step 3: Cross multiply
    29,089.13x = 38,085.19 × 38,085.19
  4. Step 4: Simplify right side
    29,089.13x = 1,450,481,506.91
  5. Step 5: Solve for x
    x = 1,450,481,506.91/29,089.13
  6. Step 6: Final answer
    x = 49,863.36

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.