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Finding the Third Proportional to 48.23 and 68.98

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Solution

The third proportional to 48.23 and 68.98 is: 98.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.23 : 68.98 = 68.98 : x
  2. Step 2: Convert to fraction form
    48.23/68.98 = 68.98/x
  3. Step 3: Cross multiply
    48.23x = 68.98 × 68.98
  4. Step 4: Simplify right side
    48.23x = 4,757.77
  5. Step 5: Solve for x
    x = 4,757.77/48.23
  6. Step 6: Final answer
    x = 98.64

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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.