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Finding the Third Proportional to 27,377.50 and 30,257.50

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Solution

The third proportional to 27,377.50 and 30,257.50 is: 33,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,377.50 : 30,257.50 = 30,257.50 : x
  2. Step 2: Convert to fraction form
    27,377.50/30,257.50 = 30,257.50/x
  3. Step 3: Cross multiply
    27,377.50x = 30,257.50 × 30,257.50
  4. Step 4: Simplify right side
    27,377.50x = 915,516,306.25
  5. Step 5: Solve for x
    x = 915,516,306.25/27,377.50
  6. Step 6: Final answer
    x = 33,440.46

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.