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Finding the Third Proportional to 11,070 and 16,566.75

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Solution

The third proportional to 11,070 and 16,566.75 is: 24,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,070 : 16,566.75 = 16,566.75 : x
  2. Step 2: Convert to fraction form
    11,070/16,566.75 = 16,566.75/x
  3. Step 3: Cross multiply
    11,070x = 16,566.75 × 16,566.75
  4. Step 4: Simplify right side
    11,070x = 274,457,205.56
  5. Step 5: Solve for x
    x = 274,457,205.56/11,070
  6. Step 6: Final answer
    x = 24,792.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.