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Finding the Third Proportional to 32,318 and 48,282

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Solution

The third proportional to 32,318 and 48,282 is: 72,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,318 : 48,282 = 48,282 : x
  2. Step 2: Convert to fraction form
    32,318/48,282 = 48,282/x
  3. Step 3: Cross multiply
    32,318x = 48,282 × 48,282
  4. Step 4: Simplify right side
    32,318x = 2,331,151,524
  5. Step 5: Solve for x
    x = 2,331,151,524/32,318
  6. Step 6: Final answer
    x = 72,131.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.