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Finding the Third Proportional to 48.30 and 72.46

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Solution

The third proportional to 48.30 and 72.46 is: 108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.30 : 72.46 = 72.46 : x
  2. Step 2: Convert to fraction form
    48.30/72.46 = 72.46/x
  3. Step 3: Cross multiply
    48.30x = 72.46 × 72.46
  4. Step 4: Simplify right side
    48.30x = 5,250.02
  5. Step 5: Solve for x
    x = 5,250.02/48.30
  6. Step 6: Final answer
    x = 108.69

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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.