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Finding the Third Proportional to 5.18 and 10.43

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Solution

The third proportional to 5.18 and 10.43 is: 21.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.18 : 10.43 = 10.43 : x
  2. Step 2: Convert to fraction form
    5.18/10.43 = 10.43/x
  3. Step 3: Cross multiply
    5.18x = 10.43 × 10.43
  4. Step 4: Simplify right side
    5.18x = 108.86
  5. Step 5: Solve for x
    x = 108.86/5.18
  6. Step 6: Final answer
    x = 21.00

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.