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Finding the Third Proportional to 32,491 and 71,187

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Solution

The third proportional to 32,491 and 71,187 is: 155,969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491 : 71,187 = 71,187 : x
  2. Step 2: Convert to fraction form
    32,491/71,187 = 71,187/x
  3. Step 3: Cross multiply
    32,491x = 71,187 × 71,187
  4. Step 4: Simplify right side
    32,491x = 5,067,588,969
  5. Step 5: Solve for x
    x = 5,067,588,969/32,491
  6. Step 6: Final answer
    x = 155,969.01

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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.