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Finding the Third Proportional to 7,084.97 and 16,299.98

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Solution

The third proportional to 7,084.97 and 16,299.98 is: 37,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.97 : 16,299.98 = 16,299.98 : x
  2. Step 2: Convert to fraction form
    7,084.97/16,299.98 = 16,299.98/x
  3. Step 3: Cross multiply
    7,084.97x = 16,299.98 × 16,299.98
  4. Step 4: Simplify right side
    7,084.97x = 265,689,490.63
  5. Step 5: Solve for x
    x = 265,689,490.63/7,084.97
  6. Step 6: Final answer
    x = 37,500.45

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.