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Finding the Third Proportional to 1,348.31 and 1,821.66

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Solution

The third proportional to 1,348.31 and 1,821.66 is: 2,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.31 : 1,821.66 = 1,821.66 : x
  2. Step 2: Convert to fraction form
    1,348.31/1,821.66 = 1,821.66/x
  3. Step 3: Cross multiply
    1,348.31x = 1,821.66 × 1,821.66
  4. Step 4: Simplify right side
    1,348.31x = 3,318,431.49
  5. Step 5: Solve for x
    x = 3,318,431.49/1,348.31
  6. Step 6: Final answer
    x = 2,461.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.