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Finding the Third Proportional to 7,130.38 and 11,084.46

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Solution

The third proportional to 7,130.38 and 11,084.46 is: 17,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.38 : 11,084.46 = 11,084.46 : x
  2. Step 2: Convert to fraction form
    7,130.38/11,084.46 = 11,084.46/x
  3. Step 3: Cross multiply
    7,130.38x = 11,084.46 × 11,084.46
  4. Step 4: Simplify right side
    7,130.38x = 122,865,274.27
  5. Step 5: Solve for x
    x = 122,865,274.27/7,130.38
  6. Step 6: Final answer
    x = 17,231.23

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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.