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Finding the Third Proportional to 32,584 and 48,760

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Solution

The third proportional to 32,584 and 48,760 is: 72,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584 : 48,760 = 48,760 : x
  2. Step 2: Convert to fraction form
    32,584/48,760 = 48,760/x
  3. Step 3: Cross multiply
    32,584x = 48,760 × 48,760
  4. Step 4: Simplify right side
    32,584x = 2,377,537,600
  5. Step 5: Solve for x
    x = 2,377,537,600/32,584
  6. Step 6: Final answer
    x = 72,966.41

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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.