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Finding the Third Proportional to 31,863.38 and 65,108.81

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Solution

The third proportional to 31,863.38 and 65,108.81 is: 133,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.38 : 65,108.81 = 65,108.81 : x
  2. Step 2: Convert to fraction form
    31,863.38/65,108.81 = 65,108.81/x
  3. Step 3: Cross multiply
    31,863.38x = 65,108.81 × 65,108.81
  4. Step 4: Simplify right side
    31,863.38x = 4,239,157,465.16
  5. Step 5: Solve for x
    x = 4,239,157,465.16/31,863.38
  6. Step 6: Final answer
    x = 133,041.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.