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Finding the Third Proportional to 11,865 and 25,566

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Solution

The third proportional to 11,865 and 25,566 is: 55,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865 : 25,566 = 25,566 : x
  2. Step 2: Convert to fraction form
    11,865/25,566 = 25,566/x
  3. Step 3: Cross multiply
    11,865x = 25,566 × 25,566
  4. Step 4: Simplify right side
    11,865x = 653,620,356
  5. Step 5: Solve for x
    x = 653,620,356/11,865
  6. Step 6: Final answer
    x = 55,088.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.