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Finding the Third Proportional to 32,734 and 71,840

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Solution

The third proportional to 32,734 and 71,840 is: 157,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,734 : 71,840 = 71,840 : x
  2. Step 2: Convert to fraction form
    32,734/71,840 = 71,840/x
  3. Step 3: Cross multiply
    32,734x = 71,840 × 71,840
  4. Step 4: Simplify right side
    32,734x = 5,160,985,600
  5. Step 5: Solve for x
    x = 5,160,985,600/32,734
  6. Step 6: Final answer
    x = 157,664.37

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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.