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Finding the Third Proportional to 7.35 and 15.65

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Solution

The third proportional to 7.35 and 15.65 is: 33.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.35 : 15.65 = 15.65 : x
  2. Step 2: Convert to fraction form
    7.35/15.65 = 15.65/x
  3. Step 3: Cross multiply
    7.35x = 15.65 × 15.65
  4. Step 4: Simplify right side
    7.35x = 244.86
  5. Step 5: Solve for x
    x = 244.86/7.35
  6. Step 6: Final answer
    x = 33.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.