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Finding the Third Proportional to 12,555 and 13,659

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Solution

The third proportional to 12,555 and 13,659 is: 14,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,555 : 13,659 = 13,659 : x
  2. Step 2: Convert to fraction form
    12,555/13,659 = 13,659/x
  3. Step 3: Cross multiply
    12,555x = 13,659 × 13,659
  4. Step 4: Simplify right side
    12,555x = 186,568,281
  5. Step 5: Solve for x
    x = 186,568,281/12,555
  6. Step 6: Final answer
    x = 14,860.08

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.