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Finding the Third Proportional to 9,981.98 and 14,052.23

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Solution

The third proportional to 9,981.98 and 14,052.23 is: 19,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.98 : 14,052.23 = 14,052.23 : x
  2. Step 2: Convert to fraction form
    9,981.98/14,052.23 = 14,052.23/x
  3. Step 3: Cross multiply
    9,981.98x = 14,052.23 × 14,052.23
  4. Step 4: Simplify right side
    9,981.98x = 197,465,290.93
  5. Step 5: Solve for x
    x = 197,465,290.93/9,981.98
  6. Step 6: Final answer
    x = 19,782.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.