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Finding the Third Proportional to 5,043.94 and 9,964.69

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Solution

The third proportional to 5,043.94 and 9,964.69 is: 19,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.94 : 9,964.69 = 9,964.69 : x
  2. Step 2: Convert to fraction form
    5,043.94/9,964.69 = 9,964.69/x
  3. Step 3: Cross multiply
    5,043.94x = 9,964.69 × 9,964.69
  4. Step 4: Simplify right side
    5,043.94x = 99,294,996.97
  5. Step 5: Solve for x
    x = 99,294,996.97/5,043.94
  6. Step 6: Final answer
    x = 19,686.01

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.