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Finding the Third Proportional to 2.97 and 6.50

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Solution

The third proportional to 2.97 and 6.50 is: 14.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.97 : 6.50 = 6.50 : x
  2. Step 2: Convert to fraction form
    2.97/6.50 = 6.50/x
  3. Step 3: Cross multiply
    2.97x = 6.50 × 6.50
  4. Step 4: Simplify right side
    2.97x = 42.25
  5. Step 5: Solve for x
    x = 42.25/2.97
  6. Step 6: Final answer
    x = 14.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.