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Finding the Third Proportional to 6,390.14 and 10,092.09

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Solution

The third proportional to 6,390.14 and 10,092.09 is: 15,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.14 : 10,092.09 = 10,092.09 : x
  2. Step 2: Convert to fraction form
    6,390.14/10,092.09 = 10,092.09/x
  3. Step 3: Cross multiply
    6,390.14x = 10,092.09 × 10,092.09
  4. Step 4: Simplify right side
    6,390.14x = 101,850,356.26
  5. Step 5: Solve for x
    x = 101,850,356.26/6,390.14
  6. Step 6: Final answer
    x = 15,938.67

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.