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Finding the Third Proportional to 48,982 and 72,753

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Solution

The third proportional to 48,982 and 72,753 is: 108,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,982 : 72,753 = 72,753 : x
  2. Step 2: Convert to fraction form
    48,982/72,753 = 72,753/x
  3. Step 3: Cross multiply
    48,982x = 72,753 × 72,753
  4. Step 4: Simplify right side
    48,982x = 5,292,999,009
  5. Step 5: Solve for x
    x = 5,292,999,009/48,982
  6. Step 6: Final answer
    x = 108,060.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.