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Finding the Third Proportional to 48,758 and 72,818

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Solution

The third proportional to 48,758 and 72,818 is: 108,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,758 : 72,818 = 72,818 : x
  2. Step 2: Convert to fraction form
    48,758/72,818 = 72,818/x
  3. Step 3: Cross multiply
    48,758x = 72,818 × 72,818
  4. Step 4: Simplify right side
    48,758x = 5,302,461,124
  5. Step 5: Solve for x
    x = 5,302,461,124/48,758
  6. Step 6: Final answer
    x = 108,750.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.