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Finding the Third Proportional to 6,563.53 and 8,842.92

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Solution

The third proportional to 6,563.53 and 8,842.92 is: 11,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.53 : 8,842.92 = 8,842.92 : x
  2. Step 2: Convert to fraction form
    6,563.53/8,842.92 = 8,842.92/x
  3. Step 3: Cross multiply
    6,563.53x = 8,842.92 × 8,842.92
  4. Step 4: Simplify right side
    6,563.53x = 78,197,267.29
  5. Step 5: Solve for x
    x = 78,197,267.29/6,563.53
  6. Step 6: Final answer
    x = 11,913.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.