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Finding the Third Proportional to 5.84 and 6.53

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Solution

The third proportional to 5.84 and 6.53 is: 7.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.84 : 6.53 = 6.53 : x
  2. Step 2: Convert to fraction form
    5.84/6.53 = 6.53/x
  3. Step 3: Cross multiply
    5.84x = 6.53 × 6.53
  4. Step 4: Simplify right side
    5.84x = 42.67
  5. Step 5: Solve for x
    x = 42.67/5.84
  6. Step 6: Final answer
    x = 7.31

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.