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Finding the Third Proportional to 31,387.50 and 67,754.25

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Solution

The third proportional to 31,387.50 and 67,754.25 is: 146,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387.50 : 67,754.25 = 67,754.25 : x
  2. Step 2: Convert to fraction form
    31,387.50/67,754.25 = 67,754.25/x
  3. Step 3: Cross multiply
    31,387.50x = 67,754.25 × 67,754.25
  4. Step 4: Simplify right side
    31,387.50x = 4,590,638,393.06
  5. Step 5: Solve for x
    x = 4,590,638,393.06/31,387.50
  6. Step 6: Final answer
    x = 146,256.90

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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.