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Finding the Third Proportional to 32,281 and 48,441

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Solution

The third proportional to 32,281 and 48,441 is: 72,690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281 : 48,441 = 48,441 : x
  2. Step 2: Convert to fraction form
    32,281/48,441 = 48,441/x
  3. Step 3: Cross multiply
    32,281x = 48,441 × 48,441
  4. Step 4: Simplify right side
    32,281x = 2,346,530,481
  5. Step 5: Solve for x
    x = 2,346,530,481/32,281
  6. Step 6: Final answer
    x = 72,690.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.