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Finding the Third Proportional to 5,842.34 and 12,755.39

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Solution

The third proportional to 5,842.34 and 12,755.39 is: 27,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.34 : 12,755.39 = 12,755.39 : x
  2. Step 2: Convert to fraction form
    5,842.34/12,755.39 = 12,755.39/x
  3. Step 3: Cross multiply
    5,842.34x = 12,755.39 × 12,755.39
  4. Step 4: Simplify right side
    5,842.34x = 162,699,990.00
  5. Step 5: Solve for x
    x = 162,699,990.00/5,842.34
  6. Step 6: Final answer
    x = 27,848.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.