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Finding the Third Proportional to 48,159 and 63,919.13

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Solution

The third proportional to 48,159 and 63,919.13 is: 84,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,159 : 63,919.13 = 63,919.13 : x
  2. Step 2: Convert to fraction form
    48,159/63,919.13 = 63,919.13/x
  3. Step 3: Cross multiply
    48,159x = 63,919.13 × 63,919.13
  4. Step 4: Simplify right side
    48,159x = 4,085,654,540.77
  5. Step 5: Solve for x
    x = 4,085,654,540.77/48,159
  6. Step 6: Final answer
    x = 84,836.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.