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Finding the Third Proportional to 22.54 and 35.60

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Solution

The third proportional to 22.54 and 35.60 is: 56.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.54 : 35.60 = 35.60 : x
  2. Step 2: Convert to fraction form
    22.54/35.60 = 35.60/x
  3. Step 3: Cross multiply
    22.54x = 35.60 × 35.60
  4. Step 4: Simplify right side
    22.54x = 1,267.05
  5. Step 5: Solve for x
    x = 1,267.05/22.54
  6. Step 6: Final answer
    x = 56.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.