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Finding the Third Proportional to 32,656 and 70,744

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Solution

The third proportional to 32,656 and 70,744 is: 153,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656 : 70,744 = 70,744 : x
  2. Step 2: Convert to fraction form
    32,656/70,744 = 70,744/x
  3. Step 3: Cross multiply
    32,656x = 70,744 × 70,744
  4. Step 4: Simplify right side
    32,656x = 5,004,713,536
  5. Step 5: Solve for x
    x = 5,004,713,536/32,656
  6. Step 6: Final answer
    x = 153,255.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.