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Finding the Third Proportional to 8,829 and 18,384.75

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Solution

The third proportional to 8,829 and 18,384.75 is: 38,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829 : 18,384.75 = 18,384.75 : x
  2. Step 2: Convert to fraction form
    8,829/18,384.75 = 18,384.75/x
  3. Step 3: Cross multiply
    8,829x = 18,384.75 × 18,384.75
  4. Step 4: Simplify right side
    8,829x = 337,999,032.56
  5. Step 5: Solve for x
    x = 337,999,032.56/8,829
  6. Step 6: Final answer
    x = 38,282.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.