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Finding the Third Proportional to 48,508.88 and 72,464.06

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Solution

The third proportional to 48,508.88 and 72,464.06 is: 108,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,508.88 : 72,464.06 = 72,464.06 : x
  2. Step 2: Convert to fraction form
    48,508.88/72,464.06 = 72,464.06/x
  3. Step 3: Cross multiply
    48,508.88x = 72,464.06 × 72,464.06
  4. Step 4: Simplify right side
    48,508.88x = 5,251,040,354.00
  5. Step 5: Solve for x
    x = 5,251,040,354.00/48,508.88
  6. Step 6: Final answer
    x = 108,249.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.