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Finding the Third Proportional to 13,943.25 and 19,502.44

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Solution

The third proportional to 13,943.25 and 19,502.44 is: 27,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943.25 : 19,502.44 = 19,502.44 : x
  2. Step 2: Convert to fraction form
    13,943.25/19,502.44 = 19,502.44/x
  3. Step 3: Cross multiply
    13,943.25x = 19,502.44 × 19,502.44
  4. Step 4: Simplify right side
    13,943.25x = 380,345,068.44
  5. Step 5: Solve for x
    x = 380,345,068.44/13,943.25
  6. Step 6: Final answer
    x = 27,278.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.