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Finding the Third Proportional to 1,322.63 and 2,827.44

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Solution

The third proportional to 1,322.63 and 2,827.44 is: 6,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.63 : 2,827.44 = 2,827.44 : x
  2. Step 2: Convert to fraction form
    1,322.63/2,827.44 = 2,827.44/x
  3. Step 3: Cross multiply
    1,322.63x = 2,827.44 × 2,827.44
  4. Step 4: Simplify right side
    1,322.63x = 7,994,402.82
  5. Step 5: Solve for x
    x = 7,994,402.82/1,322.63
  6. Step 6: Final answer
    x = 6,044.35

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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.