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Finding the Third Proportional to 31,335.25 and 48,543.50

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Solution

The third proportional to 31,335.25 and 48,543.50 is: 75,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.25 : 48,543.50 = 48,543.50 : x
  2. Step 2: Convert to fraction form
    31,335.25/48,543.50 = 48,543.50/x
  3. Step 3: Cross multiply
    31,335.25x = 48,543.50 × 48,543.50
  4. Step 4: Simplify right side
    31,335.25x = 2,356,471,392.25
  5. Step 5: Solve for x
    x = 2,356,471,392.25/31,335.25
  6. Step 6: Final answer
    x = 75,201.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.