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Finding the Third Proportional to 14,084.44 and 21,082.78

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Solution

The third proportional to 14,084.44 and 21,082.78 is: 31,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.44 : 21,082.78 = 21,082.78 : x
  2. Step 2: Convert to fraction form
    14,084.44/21,082.78 = 21,082.78/x
  3. Step 3: Cross multiply
    14,084.44x = 21,082.78 × 21,082.78
  4. Step 4: Simplify right side
    14,084.44x = 444,483,665.24
  5. Step 5: Solve for x
    x = 444,483,665.24/14,084.44
  6. Step 6: Final answer
    x = 31,558.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.