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Finding the Third Proportional to 15.86 and 21.08

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Solution

The third proportional to 15.86 and 21.08 is: 28.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.86 : 21.08 = 21.08 : x
  2. Step 2: Convert to fraction form
    15.86/21.08 = 21.08/x
  3. Step 3: Cross multiply
    15.86x = 21.08 × 21.08
  4. Step 4: Simplify right side
    15.86x = 444.29
  5. Step 5: Solve for x
    x = 444.29/15.86
  6. Step 6: Final answer
    x = 28.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.