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Finding the Third Proportional to 4,965.68 and 10,335.73

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Solution

The third proportional to 4,965.68 and 10,335.73 is: 21,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.68 : 10,335.73 = 10,335.73 : x
  2. Step 2: Convert to fraction form
    4,965.68/10,335.73 = 10,335.73/x
  3. Step 3: Cross multiply
    4,965.68x = 10,335.73 × 10,335.73
  4. Step 4: Simplify right side
    4,965.68x = 106,827,243.57
  5. Step 5: Solve for x
    x = 106,827,243.57/4,965.68
  6. Step 6: Final answer
    x = 21,513.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.