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Finding the Third Proportional to 1,323 and 2,815.59

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Solution

The third proportional to 1,323 and 2,815.59 is: 5,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323 : 2,815.59 = 2,815.59 : x
  2. Step 2: Convert to fraction form
    1,323/2,815.59 = 2,815.59/x
  3. Step 3: Cross multiply
    1,323x = 2,815.59 × 2,815.59
  4. Step 4: Simplify right side
    1,323x = 7,927,568.17
  5. Step 5: Solve for x
    x = 7,927,568.17/1,323
  6. Step 6: Final answer
    x = 5,992.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.