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Finding the Third Proportional to 1,584 and 2,133

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Solution

The third proportional to 1,584 and 2,133 is: 2,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 2,133 = 2,133 : x
  2. Step 2: Convert to fraction form
    1,584/2,133 = 2,133/x
  3. Step 3: Cross multiply
    1,584x = 2,133 × 2,133
  4. Step 4: Simplify right side
    1,584x = 4,549,689
  5. Step 5: Solve for x
    x = 4,549,689/1,584
  6. Step 6: Final answer
    x = 2,872.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.