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Finding the Third Proportional to 48,982 and 75,704

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Solution

The third proportional to 48,982 and 75,704 is: 117,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,982 : 75,704 = 75,704 : x
  2. Step 2: Convert to fraction form
    48,982/75,704 = 75,704/x
  3. Step 3: Cross multiply
    48,982x = 75,704 × 75,704
  4. Step 4: Simplify right side
    48,982x = 5,731,095,616
  5. Step 5: Solve for x
    x = 5,731,095,616/48,982
  6. Step 6: Final answer
    x = 117,004.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.