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Finding the Third Proportional to 2,058.19 and 2,932.88

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Solution

The third proportional to 2,058.19 and 2,932.88 is: 4,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.19 : 2,932.88 = 2,932.88 : x
  2. Step 2: Convert to fraction form
    2,058.19/2,932.88 = 2,932.88/x
  3. Step 3: Cross multiply
    2,058.19x = 2,932.88 × 2,932.88
  4. Step 4: Simplify right side
    2,058.19x = 8,601,755.77
  5. Step 5: Solve for x
    x = 8,601,755.77/2,058.19
  6. Step 6: Final answer
    x = 4,179.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.