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Finding the Third Proportional to 3,076.17 and 6,589.97

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Solution

The third proportional to 3,076.17 and 6,589.97 is: 14,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.17 : 6,589.97 = 6,589.97 : x
  2. Step 2: Convert to fraction form
    3,076.17/6,589.97 = 6,589.97/x
  3. Step 3: Cross multiply
    3,076.17x = 6,589.97 × 6,589.97
  4. Step 4: Simplify right side
    3,076.17x = 43,427,688.13
  5. Step 5: Solve for x
    x = 43,427,688.13/3,076.17
  6. Step 6: Final answer
    x = 14,117.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.