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Finding the Third Proportional to 8,721 and 12,709.50

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Solution

The third proportional to 8,721 and 12,709.50 is: 18,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721 : 12,709.50 = 12,709.50 : x
  2. Step 2: Convert to fraction form
    8,721/12,709.50 = 12,709.50/x
  3. Step 3: Cross multiply
    8,721x = 12,709.50 × 12,709.50
  4. Step 4: Simplify right side
    8,721x = 161,531,390.25
  5. Step 5: Solve for x
    x = 161,531,390.25/8,721
  6. Step 6: Final answer
    x = 18,522.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.