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Finding the Third Proportional to 37,032.19 and 81,091.13

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Solution

The third proportional to 37,032.19 and 81,091.13 is: 177,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,032.19 : 81,091.13 = 81,091.13 : x
  2. Step 2: Convert to fraction form
    37,032.19/81,091.13 = 81,091.13/x
  3. Step 3: Cross multiply
    37,032.19x = 81,091.13 × 81,091.13
  4. Step 4: Simplify right side
    37,032.19x = 6,575,770,553.77
  5. Step 5: Solve for x
    x = 6,575,770,553.77/37,032.19
  6. Step 6: Final answer
    x = 177,569.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.