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Finding the Third Proportional to 32.33 and 46.08

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Solution

The third proportional to 32.33 and 46.08 is: 65.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.33 : 46.08 = 46.08 : x
  2. Step 2: Convert to fraction form
    32.33/46.08 = 46.08/x
  3. Step 3: Cross multiply
    32.33x = 46.08 × 46.08
  4. Step 4: Simplify right side
    32.33x = 2,123.19
  5. Step 5: Solve for x
    x = 2,123.19/32.33
  6. Step 6: Final answer
    x = 65.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.