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Finding the Third Proportional to 5,626.13 and 7,416.56

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Solution

The third proportional to 5,626.13 and 7,416.56 is: 9,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.13 : 7,416.56 = 7,416.56 : x
  2. Step 2: Convert to fraction form
    5,626.13/7,416.56 = 7,416.56/x
  3. Step 3: Cross multiply
    5,626.13x = 7,416.56 × 7,416.56
  4. Step 4: Simplify right side
    5,626.13x = 55,005,399.32
  5. Step 5: Solve for x
    x = 55,005,399.32/5,626.13
  6. Step 6: Final answer
    x = 9,776.78

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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.