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Finding the Third Proportional to 6,560.05 and 10,261.05

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Solution

The third proportional to 6,560.05 and 10,261.05 is: 16,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.05 : 10,261.05 = 10,261.05 : x
  2. Step 2: Convert to fraction form
    6,560.05/10,261.05 = 10,261.05/x
  3. Step 3: Cross multiply
    6,560.05x = 10,261.05 × 10,261.05
  4. Step 4: Simplify right side
    6,560.05x = 105,289,243.30
  5. Step 5: Solve for x
    x = 105,289,243.30/6,560.05
  6. Step 6: Final answer
    x = 16,050.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.