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Finding the Third Proportional to 32,492 and 67,537

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Solution

The third proportional to 32,492 and 67,537 is: 140,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492 : 67,537 = 67,537 : x
  2. Step 2: Convert to fraction form
    32,492/67,537 = 67,537/x
  3. Step 3: Cross multiply
    32,492x = 67,537 × 67,537
  4. Step 4: Simplify right side
    32,492x = 4,561,246,369
  5. Step 5: Solve for x
    x = 4,561,246,369/32,492
  6. Step 6: Final answer
    x = 140,380.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.