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Finding the Third Proportional to 1,584 and 2,294

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Solution

The third proportional to 1,584 and 2,294 is: 3,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 2,294 = 2,294 : x
  2. Step 2: Convert to fraction form
    1,584/2,294 = 2,294/x
  3. Step 3: Cross multiply
    1,584x = 2,294 × 2,294
  4. Step 4: Simplify right side
    1,584x = 5,262,436
  5. Step 5: Solve for x
    x = 5,262,436/1,584
  6. Step 6: Final answer
    x = 3,322.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.