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Finding the Third Proportional to 10,786 and 12,754

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Solution

The third proportional to 10,786 and 12,754 is: 15,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 12,754 = 12,754 : x
  2. Step 2: Convert to fraction form
    10,786/12,754 = 12,754/x
  3. Step 3: Cross multiply
    10,786x = 12,754 × 12,754
  4. Step 4: Simplify right side
    10,786x = 162,664,516
  5. Step 5: Solve for x
    x = 162,664,516/10,786
  6. Step 6: Final answer
    x = 15,081.08

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.