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Finding the Third Proportional to 6.58 and 7.43

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Solution

The third proportional to 6.58 and 7.43 is: 8.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.58 : 7.43 = 7.43 : x
  2. Step 2: Convert to fraction form
    6.58/7.43 = 7.43/x
  3. Step 3: Cross multiply
    6.58x = 7.43 × 7.43
  4. Step 4: Simplify right side
    6.58x = 55.24
  5. Step 5: Solve for x
    x = 55.24/6.58
  6. Step 6: Final answer
    x = 8.40

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.