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Finding the Third Proportional to 7,084.13 and 10,504.69

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Solution

The third proportional to 7,084.13 and 10,504.69 is: 15,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.13 : 10,504.69 = 10,504.69 : x
  2. Step 2: Convert to fraction form
    7,084.13/10,504.69 = 10,504.69/x
  3. Step 3: Cross multiply
    7,084.13x = 10,504.69 × 10,504.69
  4. Step 4: Simplify right side
    7,084.13x = 110,348,459.47
  5. Step 5: Solve for x
    x = 110,348,459.47/7,084.13
  6. Step 6: Final answer
    x = 15,576.87

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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.