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Finding the Third Proportional to 10.60 and 16.74

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Solution

The third proportional to 10.60 and 16.74 is: 26.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.60 : 16.74 = 16.74 : x
  2. Step 2: Convert to fraction form
    10.60/16.74 = 16.74/x
  3. Step 3: Cross multiply
    10.60x = 16.74 × 16.74
  4. Step 4: Simplify right side
    10.60x = 280.18
  5. Step 5: Solve for x
    x = 280.18/10.60
  6. Step 6: Final answer
    x = 26.44

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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.