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Finding the Third Proportional to 28,766 and 38,659

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Solution

The third proportional to 28,766 and 38,659 is: 51,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,766 : 38,659 = 38,659 : x
  2. Step 2: Convert to fraction form
    28,766/38,659 = 38,659/x
  3. Step 3: Cross multiply
    28,766x = 38,659 × 38,659
  4. Step 4: Simplify right side
    28,766x = 1,494,518,281
  5. Step 5: Solve for x
    x = 1,494,518,281/28,766
  6. Step 6: Final answer
    x = 51,954.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.