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Finding the Third Proportional to 62.33 and 89.22

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Solution

The third proportional to 62.33 and 89.22 is: 127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.33 : 89.22 = 89.22 : x
  2. Step 2: Convert to fraction form
    62.33/89.22 = 89.22/x
  3. Step 3: Cross multiply
    62.33x = 89.22 × 89.22
  4. Step 4: Simplify right side
    62.33x = 7,959.99
  5. Step 5: Solve for x
    x = 7,959.99/62.33
  6. Step 6: Final answer
    x = 127.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.