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Finding the Third Proportional to 48,892 and 75,583

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Solution

The third proportional to 48,892 and 75,583 is: 116,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892 : 75,583 = 75,583 : x
  2. Step 2: Convert to fraction form
    48,892/75,583 = 75,583/x
  3. Step 3: Cross multiply
    48,892x = 75,583 × 75,583
  4. Step 4: Simplify right side
    48,892x = 5,712,789,889
  5. Step 5: Solve for x
    x = 5,712,789,889/48,892
  6. Step 6: Final answer
    x = 116,845.08

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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.