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Finding the Third Proportional to 6,301.13 and 7,617.38

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Solution

The third proportional to 6,301.13 and 7,617.38 is: 9,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.13 : 7,617.38 = 7,617.38 : x
  2. Step 2: Convert to fraction form
    6,301.13/7,617.38 = 7,617.38/x
  3. Step 3: Cross multiply
    6,301.13x = 7,617.38 × 7,617.38
  4. Step 4: Simplify right side
    6,301.13x = 58,024,401.89
  5. Step 5: Solve for x
    x = 58,024,401.89/6,301.13
  6. Step 6: Final answer
    x = 9,208.58

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.