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Finding the Third Proportional to 21.38 and 32.19

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Solution

The third proportional to 21.38 and 32.19 is: 48.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.38 : 32.19 = 32.19 : x
  2. Step 2: Convert to fraction form
    21.38/32.19 = 32.19/x
  3. Step 3: Cross multiply
    21.38x = 32.19 × 32.19
  4. Step 4: Simplify right side
    21.38x = 1,036.04
  5. Step 5: Solve for x
    x = 1,036.04/21.38
  6. Step 6: Final answer
    x = 48.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.