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Finding the Third Proportional to 5.02 and 6.95

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Solution

The third proportional to 5.02 and 6.95 is: 9.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.02 : 6.95 = 6.95 : x
  2. Step 2: Convert to fraction form
    5.02/6.95 = 6.95/x
  3. Step 3: Cross multiply
    5.02x = 6.95 × 6.95
  4. Step 4: Simplify right side
    5.02x = 48.30
  5. Step 5: Solve for x
    x = 48.30/5.02
  6. Step 6: Final answer
    x = 9.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.