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Finding the Third Proportional to 36,340.13 and 77,935.13

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Solution

The third proportional to 36,340.13 and 77,935.13 is: 167,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,340.13 : 77,935.13 = 77,935.13 : x
  2. Step 2: Convert to fraction form
    36,340.13/77,935.13 = 77,935.13/x
  3. Step 3: Cross multiply
    36,340.13x = 77,935.13 × 77,935.13
  4. Step 4: Simplify right side
    36,340.13x = 6,073,883,708.77
  5. Step 5: Solve for x
    x = 6,073,883,708.77/36,340.13
  6. Step 6: Final answer
    x = 167,139.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.