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Finding the Third Proportional to 12,366 and 18,659

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Solution

The third proportional to 12,366 and 18,659 is: 28,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366 : 18,659 = 18,659 : x
  2. Step 2: Convert to fraction form
    12,366/18,659 = 18,659/x
  3. Step 3: Cross multiply
    12,366x = 18,659 × 18,659
  4. Step 4: Simplify right side
    12,366x = 348,158,281
  5. Step 5: Solve for x
    x = 348,158,281/12,366
  6. Step 6: Final answer
    x = 28,154.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.