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Finding the Third Proportional to 9,020.50 and 14,002

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Solution

The third proportional to 9,020.50 and 14,002 is: 21,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.50 : 14,002 = 14,002 : x
  2. Step 2: Convert to fraction form
    9,020.50/14,002 = 14,002/x
  3. Step 3: Cross multiply
    9,020.50x = 14,002 × 14,002
  4. Step 4: Simplify right side
    9,020.50x = 196,056,004
  5. Step 5: Solve for x
    x = 196,056,004/9,020.50
  6. Step 6: Final answer
    x = 21,734.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.