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Finding the Third Proportional to 15.57 and 23.49

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Solution

The third proportional to 15.57 and 23.49 is: 35.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.57 : 23.49 = 23.49 : x
  2. Step 2: Convert to fraction form
    15.57/23.49 = 23.49/x
  3. Step 3: Cross multiply
    15.57x = 23.49 × 23.49
  4. Step 4: Simplify right side
    15.57x = 551.75
  5. Step 5: Solve for x
    x = 551.75/15.57
  6. Step 6: Final answer
    x = 35.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.