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Finding the Third Proportional to 29.64 and 63.07

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Solution

The third proportional to 29.64 and 63.07 is: 134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 63.07 = 63.07 : x
  2. Step 2: Convert to fraction form
    29.64/63.07 = 63.07/x
  3. Step 3: Cross multiply
    29.64x = 63.07 × 63.07
  4. Step 4: Simplify right side
    29.64x = 3,977.86
  5. Step 5: Solve for x
    x = 3,977.86/29.64
  6. Step 6: Final answer
    x = 134.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.