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Finding the Third Proportional to 15.35 and 32.56

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Solution

The third proportional to 15.35 and 32.56 is: 69.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.35 : 32.56 = 32.56 : x
  2. Step 2: Convert to fraction form
    15.35/32.56 = 32.56/x
  3. Step 3: Cross multiply
    15.35x = 32.56 × 32.56
  4. Step 4: Simplify right side
    15.35x = 1,059.91
  5. Step 5: Solve for x
    x = 1,059.91/15.35
  6. Step 6: Final answer
    x = 69.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.