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Finding the Third Proportional to 15.84 and 24.56

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Solution

The third proportional to 15.84 and 24.56 is: 38.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.84 : 24.56 = 24.56 : x
  2. Step 2: Convert to fraction form
    15.84/24.56 = 24.56/x
  3. Step 3: Cross multiply
    15.84x = 24.56 × 24.56
  4. Step 4: Simplify right side
    15.84x = 603.32
  5. Step 5: Solve for x
    x = 603.32/15.84
  6. Step 6: Final answer
    x = 38.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.