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Finding the Third Proportional to 29.00 and 44.98

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Solution

The third proportional to 29.00 and 44.98 is: 69.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.00 : 44.98 = 44.98 : x
  2. Step 2: Convert to fraction form
    29.00/44.98 = 44.98/x
  3. Step 3: Cross multiply
    29.00x = 44.98 × 44.98
  4. Step 4: Simplify right side
    29.00x = 2,023.42
  5. Step 5: Solve for x
    x = 2,023.42/29.00
  6. Step 6: Final answer
    x = 69.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.