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Finding the Third Proportional to 48,279 and 63,634.50

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Solution

The third proportional to 48,279 and 63,634.50 is: 83,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,279 : 63,634.50 = 63,634.50 : x
  2. Step 2: Convert to fraction form
    48,279/63,634.50 = 63,634.50/x
  3. Step 3: Cross multiply
    48,279x = 63,634.50 × 63,634.50
  4. Step 4: Simplify right side
    48,279x = 4,049,349,590.25
  5. Step 5: Solve for x
    x = 4,049,349,590.25/48,279
  6. Step 6: Final answer
    x = 83,873.93

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.