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Finding the Third Proportional to 48,359 and 68,488

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Solution

The third proportional to 48,359 and 68,488 is: 96,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,359 : 68,488 = 68,488 : x
  2. Step 2: Convert to fraction form
    48,359/68,488 = 68,488/x
  3. Step 3: Cross multiply
    48,359x = 68,488 × 68,488
  4. Step 4: Simplify right side
    48,359x = 4,690,606,144
  5. Step 5: Solve for x
    x = 4,690,606,144/48,359
  6. Step 6: Final answer
    x = 96,995.52

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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.