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Finding the Third Proportional to 2,989.13 and 6,581.81

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Solution

The third proportional to 2,989.13 and 6,581.81 is: 14,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.13 : 6,581.81 = 6,581.81 : x
  2. Step 2: Convert to fraction form
    2,989.13/6,581.81 = 6,581.81/x
  3. Step 3: Cross multiply
    2,989.13x = 6,581.81 × 6,581.81
  4. Step 4: Simplify right side
    2,989.13x = 43,320,255.79
  5. Step 5: Solve for x
    x = 43,320,255.79/2,989.13
  6. Step 6: Final answer
    x = 14,492.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.