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Finding the Third Proportional to 14,083.88 and 19,689.19

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Solution

The third proportional to 14,083.88 and 19,689.19 is: 27,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.88 : 19,689.19 = 19,689.19 : x
  2. Step 2: Convert to fraction form
    14,083.88/19,689.19 = 19,689.19/x
  3. Step 3: Cross multiply
    14,083.88x = 19,689.19 × 19,689.19
  4. Step 4: Simplify right side
    14,083.88x = 387,664,104.41
  5. Step 5: Solve for x
    x = 387,664,104.41/14,083.88
  6. Step 6: Final answer
    x = 27,525.39

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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.