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Finding the Third Proportional to 15.48 and 24.03

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Solution

The third proportional to 15.48 and 24.03 is: 37.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.48 : 24.03 = 24.03 : x
  2. Step 2: Convert to fraction form
    15.48/24.03 = 24.03/x
  3. Step 3: Cross multiply
    15.48x = 24.03 × 24.03
  4. Step 4: Simplify right side
    15.48x = 577.30
  5. Step 5: Solve for x
    x = 577.30/15.48
  6. Step 6: Final answer
    x = 37.28

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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.