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Finding the Third Proportional to 12,262.50 and 16,560.75

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Solution

The third proportional to 12,262.50 and 16,560.75 is: 22,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.50 : 16,560.75 = 16,560.75 : x
  2. Step 2: Convert to fraction form
    12,262.50/16,560.75 = 16,560.75/x
  3. Step 3: Cross multiply
    12,262.50x = 16,560.75 × 16,560.75
  4. Step 4: Simplify right side
    12,262.50x = 274,258,440.56
  5. Step 5: Solve for x
    x = 274,258,440.56/12,262.50
  6. Step 6: Final answer
    x = 22,365.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.