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Finding the Third Proportional to 32,709 and 71,646

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Solution

The third proportional to 32,709 and 71,646 is: 156,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709 : 71,646 = 71,646 : x
  2. Step 2: Convert to fraction form
    32,709/71,646 = 71,646/x
  3. Step 3: Cross multiply
    32,709x = 71,646 × 71,646
  4. Step 4: Simplify right side
    32,709x = 5,133,149,316
  5. Step 5: Solve for x
    x = 5,133,149,316/32,709
  6. Step 6: Final answer
    x = 156,933.85

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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.