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Finding the Third Proportional to 31,560 and 67,888.50

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Solution

The third proportional to 31,560 and 67,888.50 is: 146,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560 : 67,888.50 = 67,888.50 : x
  2. Step 2: Convert to fraction form
    31,560/67,888.50 = 67,888.50/x
  3. Step 3: Cross multiply
    31,560x = 67,888.50 × 67,888.50
  4. Step 4: Simplify right side
    31,560x = 4,608,848,432.25
  5. Step 5: Solve for x
    x = 4,608,848,432.25/31,560
  6. Step 6: Final answer
    x = 146,034.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.