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Finding the Third Proportional to 5,267.95 and 7,410.30

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Solution

The third proportional to 5,267.95 and 7,410.30 is: 10,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.95 : 7,410.30 = 7,410.30 : x
  2. Step 2: Convert to fraction form
    5,267.95/7,410.30 = 7,410.30/x
  3. Step 3: Cross multiply
    5,267.95x = 7,410.30 × 7,410.30
  4. Step 4: Simplify right side
    5,267.95x = 54,912,615.56
  5. Step 5: Solve for x
    x = 54,912,615.56/5,267.95
  6. Step 6: Final answer
    x = 10,423.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.