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Finding the Third Proportional to 12,784 and 29,856

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Solution

The third proportional to 12,784 and 29,856 is: 69,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784 : 29,856 = 29,856 : x
  2. Step 2: Convert to fraction form
    12,784/29,856 = 29,856/x
  3. Step 3: Cross multiply
    12,784x = 29,856 × 29,856
  4. Step 4: Simplify right side
    12,784x = 891,380,736
  5. Step 5: Solve for x
    x = 891,380,736/12,784
  6. Step 6: Final answer
    x = 69,726.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.