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Finding the Third Proportional to 1,314.04 and 2,823.29

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Solution

The third proportional to 1,314.04 and 2,823.29 is: 6,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.04 : 2,823.29 = 2,823.29 : x
  2. Step 2: Convert to fraction form
    1,314.04/2,823.29 = 2,823.29/x
  3. Step 3: Cross multiply
    1,314.04x = 2,823.29 × 2,823.29
  4. Step 4: Simplify right side
    1,314.04x = 7,970,983.19
  5. Step 5: Solve for x
    x = 7,970,983.19/1,314.04
  6. Step 6: Final answer
    x = 6,066.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.