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Finding the Third Proportional to 12,201 and 16,570.50

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Solution

The third proportional to 12,201 and 16,570.50 is: 22,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201 : 16,570.50 = 16,570.50 : x
  2. Step 2: Convert to fraction form
    12,201/16,570.50 = 16,570.50/x
  3. Step 3: Cross multiply
    12,201x = 16,570.50 × 16,570.50
  4. Step 4: Simplify right side
    12,201x = 274,581,470.25
  5. Step 5: Solve for x
    x = 274,581,470.25/12,201
  6. Step 6: Final answer
    x = 22,504.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.