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Finding the Third Proportional to 64.03 and 98.48

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Solution

The third proportional to 64.03 and 98.48 is: 151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.03 : 98.48 = 98.48 : x
  2. Step 2: Convert to fraction form
    64.03/98.48 = 98.48/x
  3. Step 3: Cross multiply
    64.03x = 98.48 × 98.48
  4. Step 4: Simplify right side
    64.03x = 9,699.17
  5. Step 5: Solve for x
    x = 9,699.17/64.03
  6. Step 6: Final answer
    x = 151.48

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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.