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Finding the Third Proportional to 14,006.67 and 21,025.20

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Solution

The third proportional to 14,006.67 and 21,025.20 is: 31,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.67 : 21,025.20 = 21,025.20 : x
  2. Step 2: Convert to fraction form
    14,006.67/21,025.20 = 21,025.20/x
  3. Step 3: Cross multiply
    14,006.67x = 21,025.20 × 21,025.20
  4. Step 4: Simplify right side
    14,006.67x = 442,058,837.93
  5. Step 5: Solve for x
    x = 442,058,837.93/14,006.67
  6. Step 6: Final answer
    x = 31,560.59

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