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Finding the Third Proportional to 8,596 and 18,209

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Solution

The third proportional to 8,596 and 18,209 is: 38,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 18,209 = 18,209 : x
  2. Step 2: Convert to fraction form
    8,596/18,209 = 18,209/x
  3. Step 3: Cross multiply
    8,596x = 18,209 × 18,209
  4. Step 4: Simplify right side
    8,596x = 331,567,681
  5. Step 5: Solve for x
    x = 331,567,681/8,596
  6. Step 6: Final answer
    x = 38,572.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.