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Finding the Third Proportional to 32.50 and 68.38

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Solution

The third proportional to 32.50 and 68.38 is: 143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.50 : 68.38 = 68.38 : x
  2. Step 2: Convert to fraction form
    32.50/68.38 = 68.38/x
  3. Step 3: Cross multiply
    32.50x = 68.38 × 68.38
  4. Step 4: Simplify right side
    32.50x = 4,675.14
  5. Step 5: Solve for x
    x = 4,675.14/32.50
  6. Step 6: Final answer
    x = 143.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.