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Finding the Third Proportional to 10.07 and 16.54

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Solution

The third proportional to 10.07 and 16.54 is: 27.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.07 : 16.54 = 16.54 : x
  2. Step 2: Convert to fraction form
    10.07/16.54 = 16.54/x
  3. Step 3: Cross multiply
    10.07x = 16.54 × 16.54
  4. Step 4: Simplify right side
    10.07x = 273.41
  5. Step 5: Solve for x
    x = 273.41/10.07
  6. Step 6: Final answer
    x = 27.16

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.