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Finding the Third Proportional to 35.24 and 56.60

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Solution

The third proportional to 35.24 and 56.60 is: 90.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.24 : 56.60 = 56.60 : x
  2. Step 2: Convert to fraction form
    35.24/56.60 = 56.60/x
  3. Step 3: Cross multiply
    35.24x = 56.60 × 56.60
  4. Step 4: Simplify right side
    35.24x = 3,203.24
  5. Step 5: Solve for x
    x = 3,203.24/35.24
  6. Step 6: Final answer
    x = 90.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.