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Finding the Third Proportional to 32,389 and 48,617

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Solution

The third proportional to 32,389 and 48,617 is: 72,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,389 : 48,617 = 48,617 : x
  2. Step 2: Convert to fraction form
    32,389/48,617 = 48,617/x
  3. Step 3: Cross multiply
    32,389x = 48,617 × 48,617
  4. Step 4: Simplify right side
    32,389x = 2,363,612,689
  5. Step 5: Solve for x
    x = 2,363,612,689/32,389
  6. Step 6: Final answer
    x = 72,975.78

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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.