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Finding the Third Proportional to 36,931.41 and 81,043.13

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Solution

The third proportional to 36,931.41 and 81,043.13 is: 177,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,931.41 : 81,043.13 = 81,043.13 : x
  2. Step 2: Convert to fraction form
    36,931.41/81,043.13 = 81,043.13/x
  3. Step 3: Cross multiply
    36,931.41x = 81,043.13 × 81,043.13
  4. Step 4: Simplify right side
    36,931.41x = 6,567,988,109.77
  5. Step 5: Solve for x
    x = 6,567,988,109.77/36,931.41
  6. Step 6: Final answer
    x = 177,842.89

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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.