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Finding the Third Proportional to 28,784 and 38,856

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Solution

The third proportional to 28,784 and 38,856 is: 52,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,784 : 38,856 = 38,856 : x
  2. Step 2: Convert to fraction form
    28,784/38,856 = 38,856/x
  3. Step 3: Cross multiply
    28,784x = 38,856 × 38,856
  4. Step 4: Simplify right side
    28,784x = 1,509,788,736
  5. Step 5: Solve for x
    x = 1,509,788,736/28,784
  6. Step 6: Final answer
    x = 52,452.36

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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.