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Finding the Third Proportional to 10.13 and 17.72

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Solution

The third proportional to 10.13 and 17.72 is: 31.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.13 : 17.72 = 17.72 : x
  2. Step 2: Convert to fraction form
    10.13/17.72 = 17.72/x
  3. Step 3: Cross multiply
    10.13x = 17.72 × 17.72
  4. Step 4: Simplify right side
    10.13x = 313.95
  5. Step 5: Solve for x
    x = 313.95/10.13
  6. Step 6: Final answer
    x = 31.01

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.