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Finding the Third Proportional to 64.35 and 102.32

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Solution

The third proportional to 64.35 and 102.32 is: 162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.35 : 102.32 = 102.32 : x
  2. Step 2: Convert to fraction form
    64.35/102.32 = 102.32/x
  3. Step 3: Cross multiply
    64.35x = 102.32 × 102.32
  4. Step 4: Simplify right side
    64.35x = 10,469.96
  5. Step 5: Solve for x
    x = 10,469.96/64.35
  6. Step 6: Final answer
    x = 162.69

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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.