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Finding the Third Proportional to 31,182.75 and 47,927.25

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Solution

The third proportional to 31,182.75 and 47,927.25 is: 73,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.75 : 47,927.25 = 47,927.25 : x
  2. Step 2: Convert to fraction form
    31,182.75/47,927.25 = 47,927.25/x
  3. Step 3: Cross multiply
    31,182.75x = 47,927.25 × 47,927.25
  4. Step 4: Simplify right side
    31,182.75x = 2,297,021,292.56
  5. Step 5: Solve for x
    x = 2,297,021,292.56/31,182.75
  6. Step 6: Final answer
    x = 73,663.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.