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Finding the Third Proportional to 5,823.14 and 8,842.92

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Solution

The third proportional to 5,823.14 and 8,842.92 is: 13,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.14 : 8,842.92 = 8,842.92 : x
  2. Step 2: Convert to fraction form
    5,823.14/8,842.92 = 8,842.92/x
  3. Step 3: Cross multiply
    5,823.14x = 8,842.92 × 8,842.92
  4. Step 4: Simplify right side
    5,823.14x = 78,197,267.29
  5. Step 5: Solve for x
    x = 78,197,267.29/5,823.14
  6. Step 6: Final answer
    x = 13,428.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.