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Finding the Third Proportional to 10,686.94 and 17,280.84

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Solution

The third proportional to 10,686.94 and 17,280.84 is: 27,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.94 : 17,280.84 = 17,280.84 : x
  2. Step 2: Convert to fraction form
    10,686.94/17,280.84 = 17,280.84/x
  3. Step 3: Cross multiply
    10,686.94x = 17,280.84 × 17,280.84
  4. Step 4: Simplify right side
    10,686.94x = 298,627,560.71
  5. Step 5: Solve for x
    x = 298,627,560.71/10,686.94
  6. Step 6: Final answer
    x = 27,943.23

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.