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Finding the Third Proportional to 36,622.13 and 75,426.19

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Solution

The third proportional to 36,622.13 and 75,426.19 is: 155,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,622.13 : 75,426.19 = 75,426.19 : x
  2. Step 2: Convert to fraction form
    36,622.13/75,426.19 = 75,426.19/x
  3. Step 3: Cross multiply
    36,622.13x = 75,426.19 × 75,426.19
  4. Step 4: Simplify right side
    36,622.13x = 5,689,109,760.79
  5. Step 5: Solve for x
    x = 5,689,109,760.79/36,622.13
  6. Step 6: Final answer
    x = 155,346.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.