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Finding the Third Proportional to 8,698 and 20,509

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Solution

The third proportional to 8,698 and 20,509 is: 48,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698 : 20,509 = 20,509 : x
  2. Step 2: Convert to fraction form
    8,698/20,509 = 20,509/x
  3. Step 3: Cross multiply
    8,698x = 20,509 × 20,509
  4. Step 4: Simplify right side
    8,698x = 420,619,081
  5. Step 5: Solve for x
    x = 420,619,081/8,698
  6. Step 6: Final answer
    x = 48,358.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.