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Finding the Third Proportional to 14.81 and 32.08

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Solution

The third proportional to 14.81 and 32.08 is: 69.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.81 : 32.08 = 32.08 : x
  2. Step 2: Convert to fraction form
    14.81/32.08 = 32.08/x
  3. Step 3: Cross multiply
    14.81x = 32.08 × 32.08
  4. Step 4: Simplify right side
    14.81x = 1,029.01
  5. Step 5: Solve for x
    x = 1,029.01/14.81
  6. Step 6: Final answer
    x = 69.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.