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Finding the Third Proportional to 29.06 and 63.16

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Solution

The third proportional to 29.06 and 63.16 is: 137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.06 : 63.16 = 63.16 : x
  2. Step 2: Convert to fraction form
    29.06/63.16 = 63.16/x
  3. Step 3: Cross multiply
    29.06x = 63.16 × 63.16
  4. Step 4: Simplify right side
    29.06x = 3,988.71
  5. Step 5: Solve for x
    x = 3,988.71/29.06
  6. Step 6: Final answer
    x = 137.25

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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.