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Finding the Third Proportional to 13.40 and 29.06

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Solution

The third proportional to 13.40 and 29.06 is: 63.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.40 : 29.06 = 29.06 : x
  2. Step 2: Convert to fraction form
    13.40/29.06 = 29.06/x
  3. Step 3: Cross multiply
    13.40x = 29.06 × 29.06
  4. Step 4: Simplify right side
    13.40x = 844.52
  5. Step 5: Solve for x
    x = 844.52/13.40
  6. Step 6: Final answer
    x = 63.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.