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Finding the Third Proportional to 32.47 and 68.53

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Solution

The third proportional to 32.47 and 68.53 is: 144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.47 : 68.53 = 68.53 : x
  2. Step 2: Convert to fraction form
    32.47/68.53 = 68.53/x
  3. Step 3: Cross multiply
    32.47x = 68.53 × 68.53
  4. Step 4: Simplify right side
    32.47x = 4,696.53
  5. Step 5: Solve for x
    x = 4,696.53/32.47
  6. Step 6: Final answer
    x = 144.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.