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Finding the Third Proportional to 29,103.05 and 44,943.61

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Solution

The third proportional to 29,103.05 and 44,943.61 is: 69,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,103.05 : 44,943.61 = 44,943.61 : x
  2. Step 2: Convert to fraction form
    29,103.05/44,943.61 = 44,943.61/x
  3. Step 3: Cross multiply
    29,103.05x = 44,943.61 × 44,943.61
  4. Step 4: Simplify right side
    29,103.05x = 2,019,928,023.65
  5. Step 5: Solve for x
    x = 2,019,928,023.65/29,103.05
  6. Step 6: Final answer
    x = 69,406.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.