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Finding the Third Proportional to 9,717 and 13,753.50

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Solution

The third proportional to 9,717 and 13,753.50 is: 19,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717 : 13,753.50 = 13,753.50 : x
  2. Step 2: Convert to fraction form
    9,717/13,753.50 = 13,753.50/x
  3. Step 3: Cross multiply
    9,717x = 13,753.50 × 13,753.50
  4. Step 4: Simplify right side
    9,717x = 189,158,762.25
  5. Step 5: Solve for x
    x = 189,158,762.25/9,717
  6. Step 6: Final answer
    x = 19,466.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.