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Finding the Third Proportional to 65.38 and 93.50

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Solution

The third proportional to 65.38 and 93.50 is: 133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.38 : 93.50 = 93.50 : x
  2. Step 2: Convert to fraction form
    65.38/93.50 = 93.50/x
  3. Step 3: Cross multiply
    65.38x = 93.50 × 93.50
  4. Step 4: Simplify right side
    65.38x = 8,742.25
  5. Step 5: Solve for x
    x = 8,742.25/65.38
  6. Step 6: Final answer
    x = 133.72

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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.