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Finding the Third Proportional to 31,249.50 and 67,488

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Solution

The third proportional to 31,249.50 and 67,488 is: 145,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249.50 : 67,488 = 67,488 : x
  2. Step 2: Convert to fraction form
    31,249.50/67,488 = 67,488/x
  3. Step 3: Cross multiply
    31,249.50x = 67,488 × 67,488
  4. Step 4: Simplify right side
    31,249.50x = 4,554,630,144
  5. Step 5: Solve for x
    x = 4,554,630,144/31,249.50
  6. Step 6: Final answer
    x = 145,750.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.