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Finding the Third Proportional to 29,161.38 and 45,240.63

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Solution

The third proportional to 29,161.38 and 45,240.63 is: 70,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,161.38 : 45,240.63 = 45,240.63 : x
  2. Step 2: Convert to fraction form
    29,161.38/45,240.63 = 45,240.63/x
  3. Step 3: Cross multiply
    29,161.38x = 45,240.63 × 45,240.63
  4. Step 4: Simplify right side
    29,161.38x = 2,046,714,150.39
  5. Step 5: Solve for x
    x = 2,046,714,150.39/29,161.38
  6. Step 6: Final answer
    x = 70,185.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.