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Finding the Third Proportional to 31,119.56 and 47,149.69

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Solution

The third proportional to 31,119.56 and 47,149.69 is: 71,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.56 : 47,149.69 = 47,149.69 : x
  2. Step 2: Convert to fraction form
    31,119.56/47,149.69 = 47,149.69/x
  3. Step 3: Cross multiply
    31,119.56x = 47,149.69 × 47,149.69
  4. Step 4: Simplify right side
    31,119.56x = 2,223,093,031.35
  5. Step 5: Solve for x
    x = 2,223,093,031.35/31,119.56
  6. Step 6: Final answer
    x = 71,437.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.