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Finding the Third Proportional to 48,382 and 102,637

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Solution

The third proportional to 48,382 and 102,637 is: 217,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,382 : 102,637 = 102,637 : x
  2. Step 2: Convert to fraction form
    48,382/102,637 = 102,637/x
  3. Step 3: Cross multiply
    48,382x = 102,637 × 102,637
  4. Step 4: Simplify right side
    48,382x = 10,534,353,769
  5. Step 5: Solve for x
    x = 10,534,353,769/48,382
  6. Step 6: Final answer
    x = 217,732.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.