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Finding the Third Proportional to 5,830.31 and 13,186.13

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Solution

The third proportional to 5,830.31 and 13,186.13 is: 29,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.31 : 13,186.13 = 13,186.13 : x
  2. Step 2: Convert to fraction form
    5,830.31/13,186.13 = 13,186.13/x
  3. Step 3: Cross multiply
    5,830.31x = 13,186.13 × 13,186.13
  4. Step 4: Simplify right side
    5,830.31x = 173,873,892.52
  5. Step 5: Solve for x
    x = 173,873,892.52/5,830.31
  6. Step 6: Final answer
    x = 29,822.40

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.