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Finding the Third Proportional to 48,540.38 and 65,186.44

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Solution

The third proportional to 48,540.38 and 65,186.44 is: 87,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,540.38 : 65,186.44 = 65,186.44 : x
  2. Step 2: Convert to fraction form
    48,540.38/65,186.44 = 65,186.44/x
  3. Step 3: Cross multiply
    48,540.38x = 65,186.44 × 65,186.44
  4. Step 4: Simplify right side
    48,540.38x = 4,249,271,633.94
  5. Step 5: Solve for x
    x = 4,249,271,633.94/48,540.38
  6. Step 6: Final answer
    x = 87,540.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.