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Finding the Third Proportional to 48.94 and 88.59

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Solution

The third proportional to 48.94 and 88.59 is: 160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.94 : 88.59 = 88.59 : x
  2. Step 2: Convert to fraction form
    48.94/88.59 = 88.59/x
  3. Step 3: Cross multiply
    48.94x = 88.59 × 88.59
  4. Step 4: Simplify right side
    48.94x = 7,848.85
  5. Step 5: Solve for x
    x = 7,848.85/48.94
  6. Step 6: Final answer
    x = 160.39

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.