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Finding the Third Proportional to 10.38 and 21.63

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Solution

The third proportional to 10.38 and 21.63 is: 45.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.38 : 21.63 = 21.63 : x
  2. Step 2: Convert to fraction form
    10.38/21.63 = 21.63/x
  3. Step 3: Cross multiply
    10.38x = 21.63 × 21.63
  4. Step 4: Simplify right side
    10.38x = 467.64
  5. Step 5: Solve for x
    x = 467.64/10.38
  6. Step 6: Final answer
    x = 45.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.