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Finding the Third Proportional to 31,407.75 and 47,972.25

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Solution

The third proportional to 31,407.75 and 47,972.25 is: 73,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.75 : 47,972.25 = 47,972.25 : x
  2. Step 2: Convert to fraction form
    31,407.75/47,972.25 = 47,972.25/x
  3. Step 3: Cross multiply
    31,407.75x = 47,972.25 × 47,972.25
  4. Step 4: Simplify right side
    31,407.75x = 2,301,336,770.06
  5. Step 5: Solve for x
    x = 2,301,336,770.06/31,407.75
  6. Step 6: Final answer
    x = 73,272.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.