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Finding the Third Proportional to 15.06 and 24.06

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Solution

The third proportional to 15.06 and 24.06 is: 38.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.06 : 24.06 = 24.06 : x
  2. Step 2: Convert to fraction form
    15.06/24.06 = 24.06/x
  3. Step 3: Cross multiply
    15.06x = 24.06 × 24.06
  4. Step 4: Simplify right side
    15.06x = 579.00
  5. Step 5: Solve for x
    x = 579.00/15.06
  6. Step 6: Final answer
    x = 38.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.