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Finding the Third Proportional to 7,722.84 and 12,981.52

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Solution

The third proportional to 7,722.84 and 12,981.52 is: 21,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.84 : 12,981.52 = 12,981.52 : x
  2. Step 2: Convert to fraction form
    7,722.84/12,981.52 = 12,981.52/x
  3. Step 3: Cross multiply
    7,722.84x = 12,981.52 × 12,981.52
  4. Step 4: Simplify right side
    7,722.84x = 168,519,747.92
  5. Step 5: Solve for x
    x = 168,519,747.92/7,722.84
  6. Step 6: Final answer
    x = 21,820.94

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.