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Finding the Third Proportional to 9,826.31 and 14,374.97

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Solution

The third proportional to 9,826.31 and 14,374.97 is: 21,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.31 : 14,374.97 = 14,374.97 : x
  2. Step 2: Convert to fraction form
    9,826.31/14,374.97 = 14,374.97/x
  3. Step 3: Cross multiply
    9,826.31x = 14,374.97 × 14,374.97
  4. Step 4: Simplify right side
    9,826.31x = 206,639,726.56
  5. Step 5: Solve for x
    x = 206,639,726.56/9,826.31
  6. Step 6: Final answer
    x = 21,029.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.