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Finding the Third Proportional to 7,325.44 and 14,285.11

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Solution

The third proportional to 7,325.44 and 14,285.11 is: 27,856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325.44 : 14,285.11 = 14,285.11 : x
  2. Step 2: Convert to fraction form
    7,325.44/14,285.11 = 14,285.11/x
  3. Step 3: Cross multiply
    7,325.44x = 14,285.11 × 14,285.11
  4. Step 4: Simplify right side
    7,325.44x = 204,064,349.86
  5. Step 5: Solve for x
    x = 204,064,349.86/7,325.44
  6. Step 6: Final answer
    x = 27,856.95

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.