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Finding the Third Proportional to 32,491.13 and 67,161.66

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Solution

The third proportional to 32,491.13 and 67,161.66 is: 138,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.13 : 67,161.66 = 67,161.66 : x
  2. Step 2: Convert to fraction form
    32,491.13/67,161.66 = 67,161.66/x
  3. Step 3: Cross multiply
    32,491.13x = 67,161.66 × 67,161.66
  4. Step 4: Simplify right side
    32,491.13x = 4,510,688,070.24
  5. Step 5: Solve for x
    x = 4,510,688,070.24/32,491.13
  6. Step 6: Final answer
    x = 138,828.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.