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Finding the Third Proportional to 6,985.69 and 10,568.81

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Solution

The third proportional to 6,985.69 and 10,568.81 is: 15,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.69 : 10,568.81 = 10,568.81 : x
  2. Step 2: Convert to fraction form
    6,985.69/10,568.81 = 10,568.81/x
  3. Step 3: Cross multiply
    6,985.69x = 10,568.81 × 10,568.81
  4. Step 4: Simplify right side
    6,985.69x = 111,699,797.66
  5. Step 5: Solve for x
    x = 111,699,797.66/6,985.69
  6. Step 6: Final answer
    x = 15,989.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.