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Finding the Third Proportional to 15.09 and 22.86

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Solution

The third proportional to 15.09 and 22.86 is: 34.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.09 : 22.86 = 22.86 : x
  2. Step 2: Convert to fraction form
    15.09/22.86 = 22.86/x
  3. Step 3: Cross multiply
    15.09x = 22.86 × 22.86
  4. Step 4: Simplify right side
    15.09x = 522.51
  5. Step 5: Solve for x
    x = 522.51/15.09
  6. Step 6: Final answer
    x = 34.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.