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Finding the Third Proportional to 16 and 29

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Solution

The third proportional to 16 and 29 is: 52.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 29 = 29 : x
  2. Step 2: Convert to fraction form
    16/29 = 29/x
  3. Step 3: Cross multiply
    16x = 29 × 29
  4. Step 4: Simplify right side
    16x = 841
  5. Step 5: Solve for x
    x = 841/16
  6. Step 6: Final answer
    x = 52.56

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.