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Finding the Third Proportional to 64.07 and 98.96

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Solution

The third proportional to 64.07 and 98.96 is: 152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.07 : 98.96 = 98.96 : x
  2. Step 2: Convert to fraction form
    64.07/98.96 = 98.96/x
  3. Step 3: Cross multiply
    64.07x = 98.96 × 98.96
  4. Step 4: Simplify right side
    64.07x = 9,792.30
  5. Step 5: Solve for x
    x = 9,792.30/64.07
  6. Step 6: Final answer
    x = 152.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.