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Finding the Third Proportional to 65.25 and 93.38

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Solution

The third proportional to 65.25 and 93.38 is: 133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.25 : 93.38 = 93.38 : x
  2. Step 2: Convert to fraction form
    65.25/93.38 = 93.38/x
  3. Step 3: Cross multiply
    65.25x = 93.38 × 93.38
  4. Step 4: Simplify right side
    65.25x = 8,718.89
  5. Step 5: Solve for x
    x = 8,718.89/65.25
  6. Step 6: Final answer
    x = 133.62

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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.