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Finding the Third Proportional to 4,991.63 and 10,497.94

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Solution

The third proportional to 4,991.63 and 10,497.94 is: 22,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.63 : 10,497.94 = 10,497.94 : x
  2. Step 2: Convert to fraction form
    4,991.63/10,497.94 = 10,497.94/x
  3. Step 3: Cross multiply
    4,991.63x = 10,497.94 × 10,497.94
  4. Step 4: Simplify right side
    4,991.63x = 110,206,691.75
  5. Step 5: Solve for x
    x = 110,206,691.75/4,991.63
  6. Step 6: Final answer
    x = 22,078.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.