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Finding the Third Proportional to 48,406 and 77,983

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Solution

The third proportional to 48,406 and 77,983 is: 125,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,406 : 77,983 = 77,983 : x
  2. Step 2: Convert to fraction form
    48,406/77,983 = 77,983/x
  3. Step 3: Cross multiply
    48,406x = 77,983 × 77,983
  4. Step 4: Simplify right side
    48,406x = 6,081,348,289
  5. Step 5: Solve for x
    x = 6,081,348,289/48,406
  6. Step 6: Final answer
    x = 125,632.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.