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Finding the Third Proportional to 7,708 and 10,247.25

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Solution

The third proportional to 7,708 and 10,247.25 is: 13,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708 : 10,247.25 = 10,247.25 : x
  2. Step 2: Convert to fraction form
    7,708/10,247.25 = 10,247.25/x
  3. Step 3: Cross multiply
    7,708x = 10,247.25 × 10,247.25
  4. Step 4: Simplify right side
    7,708x = 105,006,132.56
  5. Step 5: Solve for x
    x = 105,006,132.56/7,708
  6. Step 6: Final answer
    x = 13,623.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.