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Finding the Third Proportional to 8,487 and 12,982.50

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Solution

The third proportional to 8,487 and 12,982.50 is: 19,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487 : 12,982.50 = 12,982.50 : x
  2. Step 2: Convert to fraction form
    8,487/12,982.50 = 12,982.50/x
  3. Step 3: Cross multiply
    8,487x = 12,982.50 × 12,982.50
  4. Step 4: Simplify right side
    8,487x = 168,545,306.25
  5. Step 5: Solve for x
    x = 168,545,306.25/8,487
  6. Step 6: Final answer
    x = 19,859.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.