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Finding the Third Proportional to 29,142.56 and 36,963.84

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Solution

The third proportional to 29,142.56 and 36,963.84 is: 46,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.56 : 36,963.84 = 36,963.84 : x
  2. Step 2: Convert to fraction form
    29,142.56/36,963.84 = 36,963.84/x
  3. Step 3: Cross multiply
    29,142.56x = 36,963.84 × 36,963.84
  4. Step 4: Simplify right side
    29,142.56x = 1,366,325,744.77
  5. Step 5: Solve for x
    x = 1,366,325,744.77/29,142.56
  6. Step 6: Final answer
    x = 46,884.20

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.