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Finding the Third Proportional to 31,135.13 and 49,566.31

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Solution

The third proportional to 31,135.13 and 49,566.31 is: 78,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,135.13 : 49,566.31 = 49,566.31 : x
  2. Step 2: Convert to fraction form
    31,135.13/49,566.31 = 49,566.31/x
  3. Step 3: Cross multiply
    31,135.13x = 49,566.31 × 49,566.31
  4. Step 4: Simplify right side
    31,135.13x = 2,456,819,334.85
  5. Step 5: Solve for x
    x = 2,456,819,334.85/31,135.13
  6. Step 6: Final answer
    x = 78,908.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.