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Finding the Third Proportional to 12.53 and 21.62

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Solution

The third proportional to 12.53 and 21.62 is: 37.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.53 : 21.62 = 21.62 : x
  2. Step 2: Convert to fraction form
    12.53/21.62 = 21.62/x
  3. Step 3: Cross multiply
    12.53x = 21.62 × 21.62
  4. Step 4: Simplify right side
    12.53x = 467.51
  5. Step 5: Solve for x
    x = 467.51/12.53
  6. Step 6: Final answer
    x = 37.32

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.