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Finding the Third Proportional to 24.21 and 35.60

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Solution

The third proportional to 24.21 and 35.60 is: 52.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.21 : 35.60 = 35.60 : x
  2. Step 2: Convert to fraction form
    24.21/35.60 = 35.60/x
  3. Step 3: Cross multiply
    24.21x = 35.60 × 35.60
  4. Step 4: Simplify right side
    24.21x = 1,267.05
  5. Step 5: Solve for x
    x = 1,267.05/24.21
  6. Step 6: Final answer
    x = 52.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.