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Finding the Third Proportional to 32,140 and 48,662

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Solution

The third proportional to 32,140 and 48,662 is: 73,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140 : 48,662 = 48,662 : x
  2. Step 2: Convert to fraction form
    32,140/48,662 = 48,662/x
  3. Step 3: Cross multiply
    32,140x = 48,662 × 48,662
  4. Step 4: Simplify right side
    32,140x = 2,367,990,244
  5. Step 5: Solve for x
    x = 2,367,990,244/32,140
  6. Step 6: Final answer
    x = 73,677.36

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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.