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Finding the Third Proportional to 3,590.58 and 8,058.23

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Solution

The third proportional to 3,590.58 and 8,058.23 is: 18,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.58 : 8,058.23 = 8,058.23 : x
  2. Step 2: Convert to fraction form
    3,590.58/8,058.23 = 8,058.23/x
  3. Step 3: Cross multiply
    3,590.58x = 8,058.23 × 8,058.23
  4. Step 4: Simplify right side
    3,590.58x = 64,935,141.24
  5. Step 5: Solve for x
    x = 64,935,141.24/3,590.58
  6. Step 6: Final answer
    x = 18,084.87

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.