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Finding the Third Proportional to 6,996.94 and 10,833.47

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Solution

The third proportional to 6,996.94 and 10,833.47 is: 16,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.94 : 10,833.47 = 10,833.47 : x
  2. Step 2: Convert to fraction form
    6,996.94/10,833.47 = 10,833.47/x
  3. Step 3: Cross multiply
    6,996.94x = 10,833.47 × 10,833.47
  4. Step 4: Simplify right side
    6,996.94x = 117,364,045.16
  5. Step 5: Solve for x
    x = 117,364,045.16/6,996.94
  6. Step 6: Final answer
    x = 16,773.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.