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Finding the Third Proportional to 32,769.19 and 71,671.13

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Solution

The third proportional to 32,769.19 and 71,671.13 is: 156,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.19 : 71,671.13 = 71,671.13 : x
  2. Step 2: Convert to fraction form
    32,769.19/71,671.13 = 71,671.13/x
  3. Step 3: Cross multiply
    32,769.19x = 71,671.13 × 71,671.13
  4. Step 4: Simplify right side
    32,769.19x = 5,136,750,158.77
  5. Step 5: Solve for x
    x = 5,136,750,158.77/32,769.19
  6. Step 6: Final answer
    x = 156,755.49

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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.