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Finding the Third Proportional to 48,363 and 68,494

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Solution

The third proportional to 48,363 and 68,494 is: 97,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,363 : 68,494 = 68,494 : x
  2. Step 2: Convert to fraction form
    48,363/68,494 = 68,494/x
  3. Step 3: Cross multiply
    48,363x = 68,494 × 68,494
  4. Step 4: Simplify right side
    48,363x = 4,691,428,036
  5. Step 5: Solve for x
    x = 4,691,428,036/48,363
  6. Step 6: Final answer
    x = 97,004.49

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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.