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Finding the Third Proportional to 828.98 and 1,954.13

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Solution

The third proportional to 828.98 and 1,954.13 is: 4,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.98 : 1,954.13 = 1,954.13 : x
  2. Step 2: Convert to fraction form
    828.98/1,954.13 = 1,954.13/x
  3. Step 3: Cross multiply
    828.98x = 1,954.13 × 1,954.13
  4. Step 4: Simplify right side
    828.98x = 3,818,604.52
  5. Step 5: Solve for x
    x = 3,818,604.52/828.98
  6. Step 6: Final answer
    x = 4,606.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.