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Finding the Third Proportional to 7,427 and 9,817.50

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Solution

The third proportional to 7,427 and 9,817.50 is: 12,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427 : 9,817.50 = 9,817.50 : x
  2. Step 2: Convert to fraction form
    7,427/9,817.50 = 9,817.50/x
  3. Step 3: Cross multiply
    7,427x = 9,817.50 × 9,817.50
  4. Step 4: Simplify right side
    7,427x = 96,383,306.25
  5. Step 5: Solve for x
    x = 96,383,306.25/7,427
  6. Step 6: Final answer
    x = 12,977.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.