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Finding the Third Proportional to 32,432 and 48,682

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Solution

The third proportional to 32,432 and 48,682 is: 73,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,432 : 48,682 = 48,682 : x
  2. Step 2: Convert to fraction form
    32,432/48,682 = 48,682/x
  3. Step 3: Cross multiply
    32,432x = 48,682 × 48,682
  4. Step 4: Simplify right side
    32,432x = 2,369,937,124
  5. Step 5: Solve for x
    x = 2,369,937,124/32,432
  6. Step 6: Final answer
    x = 73,074.04

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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.