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Finding the Third Proportional to 32,132 and 48,650

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Solution

The third proportional to 32,132 and 48,650 is: 73,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132 : 48,650 = 48,650 : x
  2. Step 2: Convert to fraction form
    32,132/48,650 = 48,650/x
  3. Step 3: Cross multiply
    32,132x = 48,650 × 48,650
  4. Step 4: Simplify right side
    32,132x = 2,366,822,500
  5. Step 5: Solve for x
    x = 2,366,822,500/32,132
  6. Step 6: Final answer
    x = 73,659.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.