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Finding the Third Proportional to 31,340.25 and 48,917.25

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Solution

The third proportional to 31,340.25 and 48,917.25 is: 76,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.25 : 48,917.25 = 48,917.25 : x
  2. Step 2: Convert to fraction form
    31,340.25/48,917.25 = 48,917.25/x
  3. Step 3: Cross multiply
    31,340.25x = 48,917.25 × 48,917.25
  4. Step 4: Simplify right side
    31,340.25x = 2,392,897,347.56
  5. Step 5: Solve for x
    x = 2,392,897,347.56/31,340.25
  6. Step 6: Final answer
    x = 76,352.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.