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Finding the Third Proportional to 7,084.13 and 16,623.56

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Solution

The third proportional to 7,084.13 and 16,623.56 is: 39,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.13 : 16,623.56 = 16,623.56 : x
  2. Step 2: Convert to fraction form
    7,084.13/16,623.56 = 16,623.56/x
  3. Step 3: Cross multiply
    7,084.13x = 16,623.56 × 16,623.56
  4. Step 4: Simplify right side
    7,084.13x = 276,342,830.19
  5. Step 5: Solve for x
    x = 276,342,830.19/7,084.13
  6. Step 6: Final answer
    x = 39,008.75

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.