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Finding the Third Proportional to 31,963.50 and 48,388.50

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Solution

The third proportional to 31,963.50 and 48,388.50 is: 73,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.50 : 48,388.50 = 48,388.50 : x
  2. Step 2: Convert to fraction form
    31,963.50/48,388.50 = 48,388.50/x
  3. Step 3: Cross multiply
    31,963.50x = 48,388.50 × 48,388.50
  4. Step 4: Simplify right side
    31,963.50x = 2,341,446,932.25
  5. Step 5: Solve for x
    x = 2,341,446,932.25/31,963.50
  6. Step 6: Final answer
    x = 73,253.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.