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Finding the Third Proportional to 32.65 and 47.82

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Solution

The third proportional to 32.65 and 47.82 is: 70.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.65 : 47.82 = 47.82 : x
  2. Step 2: Convert to fraction form
    32.65/47.82 = 47.82/x
  3. Step 3: Cross multiply
    32.65x = 47.82 × 47.82
  4. Step 4: Simplify right side
    32.65x = 2,286.81
  5. Step 5: Solve for x
    x = 2,286.81/32.65
  6. Step 6: Final answer
    x = 70.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.