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Finding the Third Proportional to 8,823.94 and 13,084.03

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Solution

The third proportional to 8,823.94 and 13,084.03 is: 19,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.94 : 13,084.03 = 13,084.03 : x
  2. Step 2: Convert to fraction form
    8,823.94/13,084.03 = 13,084.03/x
  3. Step 3: Cross multiply
    8,823.94x = 13,084.03 × 13,084.03
  4. Step 4: Simplify right side
    8,823.94x = 171,191,873.75
  5. Step 5: Solve for x
    x = 171,191,873.75/8,823.94
  6. Step 6: Final answer
    x = 19,400.85

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.