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Finding the Third Proportional to 10.13 and 21.38

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Solution

The third proportional to 10.13 and 21.38 is: 45.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.13 : 21.38 = 21.38 : x
  2. Step 2: Convert to fraction form
    10.13/21.38 = 21.38/x
  3. Step 3: Cross multiply
    10.13x = 21.38 × 21.38
  4. Step 4: Simplify right side
    10.13x = 456.89
  5. Step 5: Solve for x
    x = 456.89/10.13
  6. Step 6: Final answer
    x = 45.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.