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Finding the Third Proportional to 48,756 and 72,815

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Solution

The third proportional to 48,756 and 72,815 is: 108,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,756 : 72,815 = 72,815 : x
  2. Step 2: Convert to fraction form
    48,756/72,815 = 72,815/x
  3. Step 3: Cross multiply
    48,756x = 72,815 × 72,815
  4. Step 4: Simplify right side
    48,756x = 5,302,024,225
  5. Step 5: Solve for x
    x = 5,302,024,225/48,756
  6. Step 6: Final answer
    x = 108,746.09

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