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Finding the Third Proportional to 1,784 and 2,856

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Solution

The third proportional to 1,784 and 2,856 is: 4,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784 : 2,856 = 2,856 : x
  2. Step 2: Convert to fraction form
    1,784/2,856 = 2,856/x
  3. Step 3: Cross multiply
    1,784x = 2,856 × 2,856
  4. Step 4: Simplify right side
    1,784x = 8,156,736
  5. Step 5: Solve for x
    x = 8,156,736/1,784
  6. Step 6: Final answer
    x = 4,572.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.