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Finding the Third Proportional to 6,805.38 and 10,208.13

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Solution

The third proportional to 6,805.38 and 10,208.13 is: 15,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.38 : 10,208.13 = 10,208.13 : x
  2. Step 2: Convert to fraction form
    6,805.38/10,208.13 = 10,208.13/x
  3. Step 3: Cross multiply
    6,805.38x = 10,208.13 × 10,208.13
  4. Step 4: Simplify right side
    6,805.38x = 104,205,816.02
  5. Step 5: Solve for x
    x = 104,205,816.02/6,805.38
  6. Step 6: Final answer
    x = 15,312.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.