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Finding the Third Proportional to 37,877.63 and 82,387.13

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Solution

The third proportional to 37,877.63 and 82,387.13 is: 179,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,877.63 : 82,387.13 = 82,387.13 : x
  2. Step 2: Convert to fraction form
    37,877.63/82,387.13 = 82,387.13/x
  3. Step 3: Cross multiply
    37,877.63x = 82,387.13 × 82,387.13
  4. Step 4: Simplify right side
    37,877.63x = 6,787,638,365.77
  5. Step 5: Solve for x
    x = 6,787,638,365.77/37,877.63
  6. Step 6: Final answer
    x = 179,199.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.