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Finding the Third Proportional to 4,741.88 and 7,178.06

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Solution

The third proportional to 4,741.88 and 7,178.06 is: 10,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.88 : 7,178.06 = 7,178.06 : x
  2. Step 2: Convert to fraction form
    4,741.88/7,178.06 = 7,178.06/x
  3. Step 3: Cross multiply
    4,741.88x = 7,178.06 × 7,178.06
  4. Step 4: Simplify right side
    4,741.88x = 51,524,581.25
  5. Step 5: Solve for x
    x = 51,524,581.25/4,741.88
  6. Step 6: Final answer
    x = 10,865.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.