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Finding the Third Proportional to 2,058.25 and 4,429.13

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Solution

The third proportional to 2,058.25 and 4,429.13 is: 9,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.25 : 4,429.13 = 4,429.13 : x
  2. Step 2: Convert to fraction form
    2,058.25/4,429.13 = 4,429.13/x
  3. Step 3: Cross multiply
    2,058.25x = 4,429.13 × 4,429.13
  4. Step 4: Simplify right side
    2,058.25x = 19,617,148.27
  5. Step 5: Solve for x
    x = 19,617,148.27/2,058.25
  6. Step 6: Final answer
    x = 9,530.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.