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Finding the Third Proportional to 48 and 72.63

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Solution

The third proportional to 48 and 72.63 is: 109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48 : 72.63 = 72.63 : x
  2. Step 2: Convert to fraction form
    48/72.63 = 72.63/x
  3. Step 3: Cross multiply
    48x = 72.63 × 72.63
  4. Step 4: Simplify right side
    48x = 5,274.39
  5. Step 5: Solve for x
    x = 5,274.39/48
  6. Step 6: Final answer
    x = 109.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.