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Finding the Third Proportional to 31,142.50 and 48,945.50

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Solution

The third proportional to 31,142.50 and 48,945.50 is: 76,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.50 : 48,945.50 = 48,945.50 : x
  2. Step 2: Convert to fraction form
    31,142.50/48,945.50 = 48,945.50/x
  3. Step 3: Cross multiply
    31,142.50x = 48,945.50 × 48,945.50
  4. Step 4: Simplify right side
    31,142.50x = 2,395,661,970.25
  5. Step 5: Solve for x
    x = 2,395,661,970.25/31,142.50
  6. Step 6: Final answer
    x = 76,925.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.