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Finding the Third Proportional to 949.04 and 2,084.87

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Solution

The third proportional to 949.04 and 2,084.87 is: 4,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.04 : 2,084.87 = 2,084.87 : x
  2. Step 2: Convert to fraction form
    949.04/2,084.87 = 2,084.87/x
  3. Step 3: Cross multiply
    949.04x = 2,084.87 × 2,084.87
  4. Step 4: Simplify right side
    949.04x = 4,346,687.48
  5. Step 5: Solve for x
    x = 4,346,687.48/949.04
  6. Step 6: Final answer
    x = 4,580.07

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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.