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Finding the Third Proportional to 37,725.75 and 93,732.19

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Solution

The third proportional to 37,725.75 and 93,732.19 is: 232,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725.75 : 93,732.19 = 93,732.19 : x
  2. Step 2: Convert to fraction form
    37,725.75/93,732.19 = 93,732.19/x
  3. Step 3: Cross multiply
    37,725.75x = 93,732.19 × 93,732.19
  4. Step 4: Simplify right side
    37,725.75x = 8,785,722,973.54
  5. Step 5: Solve for x
    x = 8,785,722,973.54/37,725.75
  6. Step 6: Final answer
    x = 232,883.98

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.