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Finding the Third Proportional to 1,584 and 2,472

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Solution

The third proportional to 1,584 and 2,472 is: 3,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 2,472 = 2,472 : x
  2. Step 2: Convert to fraction form
    1,584/2,472 = 2,472/x
  3. Step 3: Cross multiply
    1,584x = 2,472 × 2,472
  4. Step 4: Simplify right side
    1,584x = 6,110,784
  5. Step 5: Solve for x
    x = 6,110,784/1,584
  6. Step 6: Final answer
    x = 3,857.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.