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Finding the Third Proportional to 1,058.16 and 2,321.44

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Solution

The third proportional to 1,058.16 and 2,321.44 is: 5,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.16 : 2,321.44 = 2,321.44 : x
  2. Step 2: Convert to fraction form
    1,058.16/2,321.44 = 2,321.44/x
  3. Step 3: Cross multiply
    1,058.16x = 2,321.44 × 2,321.44
  4. Step 4: Simplify right side
    1,058.16x = 5,389,072.07
  5. Step 5: Solve for x
    x = 5,389,072.07/1,058.16
  6. Step 6: Final answer
    x = 5,092.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.