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Finding the Third Proportional to 2,800.91 and 6,061.24

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Solution

The third proportional to 2,800.91 and 6,061.24 is: 13,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.91 : 6,061.24 = 6,061.24 : x
  2. Step 2: Convert to fraction form
    2,800.91/6,061.24 = 6,061.24/x
  3. Step 3: Cross multiply
    2,800.91x = 6,061.24 × 6,061.24
  4. Step 4: Simplify right side
    2,800.91x = 36,738,585.83
  5. Step 5: Solve for x
    x = 36,738,585.83/2,800.91
  6. Step 6: Final answer
    x = 13,116.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.