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Finding the Third Proportional to 14,388.38 and 21,882.56

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Solution

The third proportional to 14,388.38 and 21,882.56 is: 33,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388.38 : 21,882.56 = 21,882.56 : x
  2. Step 2: Convert to fraction form
    14,388.38/21,882.56 = 21,882.56/x
  3. Step 3: Cross multiply
    14,388.38x = 21,882.56 × 21,882.56
  4. Step 4: Simplify right side
    14,388.38x = 478,846,541.57
  5. Step 5: Solve for x
    x = 478,846,541.57/14,388.38
  6. Step 6: Final answer
    x = 33,280.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.