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Finding the Third Proportional to 14.13 and 22.32

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Solution

The third proportional to 14.13 and 22.32 is: 35.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.13 : 22.32 = 22.32 : x
  2. Step 2: Convert to fraction form
    14.13/22.32 = 22.32/x
  3. Step 3: Cross multiply
    14.13x = 22.32 × 22.32
  4. Step 4: Simplify right side
    14.13x = 498.10
  5. Step 5: Solve for x
    x = 498.10/14.13
  6. Step 6: Final answer
    x = 35.26

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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.