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Finding the Third Proportional to 8,706 and 13,455

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Solution

The third proportional to 8,706 and 13,455 is: 20,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706 : 13,455 = 13,455 : x
  2. Step 2: Convert to fraction form
    8,706/13,455 = 13,455/x
  3. Step 3: Cross multiply
    8,706x = 13,455 × 13,455
  4. Step 4: Simplify right side
    8,706x = 181,037,025
  5. Step 5: Solve for x
    x = 181,037,025/8,706
  6. Step 6: Final answer
    x = 20,794.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.