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Finding the Third Proportional to 31,756.88 and 49,230.75

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Solution

The third proportional to 31,756.88 and 49,230.75 is: 76,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.88 : 49,230.75 = 49,230.75 : x
  2. Step 2: Convert to fraction form
    31,756.88/49,230.75 = 49,230.75/x
  3. Step 3: Cross multiply
    31,756.88x = 49,230.75 × 49,230.75
  4. Step 4: Simplify right side
    31,756.88x = 2,423,666,745.56
  5. Step 5: Solve for x
    x = 2,423,666,745.56/31,756.88
  6. Step 6: Final answer
    x = 76,319.43

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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.