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Finding the Third Proportional to 5,604.75 and 7,147.13

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Solution

The third proportional to 5,604.75 and 7,147.13 is: 9,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.75 : 7,147.13 = 7,147.13 : x
  2. Step 2: Convert to fraction form
    5,604.75/7,147.13 = 7,147.13/x
  3. Step 3: Cross multiply
    5,604.75x = 7,147.13 × 7,147.13
  4. Step 4: Simplify right side
    5,604.75x = 51,081,395.77
  5. Step 5: Solve for x
    x = 51,081,395.77/5,604.75
  6. Step 6: Final answer
    x = 9,113.95

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.