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Finding the Third Proportional to 8,506 and 18,314

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Solution

The third proportional to 8,506 and 18,314 is: 39,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506 : 18,314 = 18,314 : x
  2. Step 2: Convert to fraction form
    8,506/18,314 = 18,314/x
  3. Step 3: Cross multiply
    8,506x = 18,314 × 18,314
  4. Step 4: Simplify right side
    8,506x = 335,402,596
  5. Step 5: Solve for x
    x = 335,402,596/8,506
  6. Step 6: Final answer
    x = 39,431.30

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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.