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Finding the Third Proportional to 6.53 and 14.29

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Solution

The third proportional to 6.53 and 14.29 is: 31.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.53 : 14.29 = 14.29 : x
  2. Step 2: Convert to fraction form
    6.53/14.29 = 14.29/x
  3. Step 3: Cross multiply
    6.53x = 14.29 × 14.29
  4. Step 4: Simplify right side
    6.53x = 204.30
  5. Step 5: Solve for x
    x = 204.30/6.53
  6. Step 6: Final answer
    x = 31.30

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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.