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Finding the Third Proportional to 64.50 and 102.84

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Solution

The third proportional to 64.50 and 102.84 is: 163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.50 : 102.84 = 102.84 : x
  2. Step 2: Convert to fraction form
    64.50/102.84 = 102.84/x
  3. Step 3: Cross multiply
    64.50x = 102.84 × 102.84
  4. Step 4: Simplify right side
    64.50x = 10,576.84
  5. Step 5: Solve for x
    x = 10,576.84/64.50
  6. Step 6: Final answer
    x = 163.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.