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Finding the Third Proportional to 43.88 and 78.22

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Solution

The third proportional to 43.88 and 78.22 is: 139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.88 : 78.22 = 78.22 : x
  2. Step 2: Convert to fraction form
    43.88/78.22 = 78.22/x
  3. Step 3: Cross multiply
    43.88x = 78.22 × 78.22
  4. Step 4: Simplify right side
    43.88x = 6,118.17
  5. Step 5: Solve for x
    x = 6,118.17/43.88
  6. Step 6: Final answer
    x = 139.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.