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Finding the Third Proportional to 22.43 and 35.77

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Solution

The third proportional to 22.43 and 35.77 is: 57.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.43 : 35.77 = 35.77 : x
  2. Step 2: Convert to fraction form
    22.43/35.77 = 35.77/x
  3. Step 3: Cross multiply
    22.43x = 35.77 × 35.77
  4. Step 4: Simplify right side
    22.43x = 1,279.76
  5. Step 5: Solve for x
    x = 1,279.76/22.43
  6. Step 6: Final answer
    x = 57.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.