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Finding the Third Proportional to 48.01 and 70.95

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Solution

The third proportional to 48.01 and 70.95 is: 104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.01 : 70.95 = 70.95 : x
  2. Step 2: Convert to fraction form
    48.01/70.95 = 70.95/x
  3. Step 3: Cross multiply
    48.01x = 70.95 × 70.95
  4. Step 4: Simplify right side
    48.01x = 5,034.48
  5. Step 5: Solve for x
    x = 5,034.48/48.01
  6. Step 6: Final answer
    x = 104.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.