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Finding the Third Proportional to 28,264 and 38,758

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Solution

The third proportional to 28,264 and 38,758 is: 53,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,264 : 38,758 = 38,758 : x
  2. Step 2: Convert to fraction form
    28,264/38,758 = 38,758/x
  3. Step 3: Cross multiply
    28,264x = 38,758 × 38,758
  4. Step 4: Simplify right side
    28,264x = 1,502,182,564
  5. Step 5: Solve for x
    x = 1,502,182,564/28,264
  6. Step 6: Final answer
    x = 53,148.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.