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Finding the Third Proportional to 29.46 and 63.65

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Solution

The third proportional to 29.46 and 63.65 is: 137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.46 : 63.65 = 63.65 : x
  2. Step 2: Convert to fraction form
    29.46/63.65 = 63.65/x
  3. Step 3: Cross multiply
    29.46x = 63.65 × 63.65
  4. Step 4: Simplify right side
    29.46x = 4,051.93
  5. Step 5: Solve for x
    x = 4,051.93/29.46
  6. Step 6: Final answer
    x = 137.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.