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Finding the Third Proportional to 5.60 and 8.55

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Solution

The third proportional to 5.60 and 8.55 is: 13.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.60 : 8.55 = 8.55 : x
  2. Step 2: Convert to fraction form
    5.60/8.55 = 8.55/x
  3. Step 3: Cross multiply
    5.60x = 8.55 × 8.55
  4. Step 4: Simplify right side
    5.60x = 73.16
  5. Step 5: Solve for x
    x = 73.16/5.60
  6. Step 6: Final answer
    x = 13.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.