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Finding the Third Proportional to 45.04 and 69.87

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Solution

The third proportional to 45.04 and 69.87 is: 108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.04 : 69.87 = 69.87 : x
  2. Step 2: Convert to fraction form
    45.04/69.87 = 69.87/x
  3. Step 3: Cross multiply
    45.04x = 69.87 × 69.87
  4. Step 4: Simplify right side
    45.04x = 4,882.24
  5. Step 5: Solve for x
    x = 4,882.24/45.04
  6. Step 6: Final answer
    x = 108.41

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