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Finding the Third Proportional to 6.25 and 8.98

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Solution

The third proportional to 6.25 and 8.98 is: 12.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.25 : 8.98 = 8.98 : x
  2. Step 2: Convert to fraction form
    6.25/8.98 = 8.98/x
  3. Step 3: Cross multiply
    6.25x = 8.98 × 8.98
  4. Step 4: Simplify right side
    6.25x = 80.69
  5. Step 5: Solve for x
    x = 80.69/6.25
  6. Step 6: Final answer
    x = 12.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.