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Finding the Third Proportional to 2,058.14 and 4,576.90

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Solution

The third proportional to 2,058.14 and 4,576.90 is: 10,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.14 : 4,576.90 = 4,576.90 : x
  2. Step 2: Convert to fraction form
    2,058.14/4,576.90 = 4,576.90/x
  3. Step 3: Cross multiply
    2,058.14x = 4,576.90 × 4,576.90
  4. Step 4: Simplify right side
    2,058.14x = 20,947,972.49
  5. Step 5: Solve for x
    x = 20,947,972.49/2,058.14
  6. Step 6: Final answer
    x = 10,178.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.