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Finding the Third Proportional to 32.13 and 38.13

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Solution

The third proportional to 32.13 and 38.13 is: 45.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.13 : 38.13 = 38.13 : x
  2. Step 2: Convert to fraction form
    32.13/38.13 = 38.13/x
  3. Step 3: Cross multiply
    32.13x = 38.13 × 38.13
  4. Step 4: Simplify right side
    32.13x = 1,453.52
  5. Step 5: Solve for x
    x = 1,453.52/32.13
  6. Step 6: Final answer
    x = 45.25

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.