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Finding the Third Proportional to 954.84 and 2,082.94

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Solution

The third proportional to 954.84 and 2,082.94 is: 4,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.84 : 2,082.94 = 2,082.94 : x
  2. Step 2: Convert to fraction form
    954.84/2,082.94 = 2,082.94/x
  3. Step 3: Cross multiply
    954.84x = 2,082.94 × 2,082.94
  4. Step 4: Simplify right side
    954.84x = 4,338,628.63
  5. Step 5: Solve for x
    x = 4,338,628.63/954.84
  6. Step 6: Final answer
    x = 4,543.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.