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Finding the Third Proportional to 14.32 and 22.62

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Solution

The third proportional to 14.32 and 22.62 is: 35.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.32 : 22.62 = 22.62 : x
  2. Step 2: Convert to fraction form
    14.32/22.62 = 22.62/x
  3. Step 3: Cross multiply
    14.32x = 22.62 × 22.62
  4. Step 4: Simplify right side
    14.32x = 511.78
  5. Step 5: Solve for x
    x = 511.78/14.32
  6. Step 6: Final answer
    x = 35.74

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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.