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Finding the Third Proportional to 43.24 and 65.60

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Solution

The third proportional to 43.24 and 65.60 is: 99.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.24 : 65.60 = 65.60 : x
  2. Step 2: Convert to fraction form
    43.24/65.60 = 65.60/x
  3. Step 3: Cross multiply
    43.24x = 65.60 × 65.60
  4. Step 4: Simplify right side
    43.24x = 4,303.57
  5. Step 5: Solve for x
    x = 4,303.57/43.24
  6. Step 6: Final answer
    x = 99.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.