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Finding the Third Proportional to 48.05 and 72.07

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Solution

The third proportional to 48.05 and 72.07 is: 108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.05 : 72.07 = 72.07 : x
  2. Step 2: Convert to fraction form
    48.05/72.07 = 72.07/x
  3. Step 3: Cross multiply
    48.05x = 72.07 × 72.07
  4. Step 4: Simplify right side
    48.05x = 5,194.13
  5. Step 5: Solve for x
    x = 5,194.13/48.05
  6. Step 6: Final answer
    x = 108.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.