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Finding the Third Proportional to 1,322.48 and 2,827.17

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Solution

The third proportional to 1,322.48 and 2,827.17 is: 6,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.48 : 2,827.17 = 2,827.17 : x
  2. Step 2: Convert to fraction form
    1,322.48/2,827.17 = 2,827.17/x
  3. Step 3: Cross multiply
    1,322.48x = 2,827.17 × 2,827.17
  4. Step 4: Simplify right side
    1,322.48x = 7,992,900.81
  5. Step 5: Solve for x
    x = 7,992,900.81/1,322.48
  6. Step 6: Final answer
    x = 6,043.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.