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Finding the Third Proportional to 48,532 and 68,748

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Solution

The third proportional to 48,532 and 68,748 is: 97,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,532 : 68,748 = 68,748 : x
  2. Step 2: Convert to fraction form
    48,532/68,748 = 68,748/x
  3. Step 3: Cross multiply
    48,532x = 68,748 × 68,748
  4. Step 4: Simplify right side
    48,532x = 4,726,287,504
  5. Step 5: Solve for x
    x = 4,726,287,504/48,532
  6. Step 6: Final answer
    x = 97,384.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.