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Finding the Third Proportional to 34 and 63.88

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Solution

The third proportional to 34 and 63.88 is: 120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 63.88 = 63.88 : x
  2. Step 2: Convert to fraction form
    34/63.88 = 63.88/x
  3. Step 3: Cross multiply
    34x = 63.88 × 63.88
  4. Step 4: Simplify right side
    34x = 4,080.02
  5. Step 5: Solve for x
    x = 4,080.02/34
  6. Step 6: Final answer
    x = 120.00

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.