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Finding the Third Proportional to 11,207.91 and 16,790.16

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Solution

The third proportional to 11,207.91 and 16,790.16 is: 25,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.91 : 16,790.16 = 16,790.16 : x
  2. Step 2: Convert to fraction form
    11,207.91/16,790.16 = 16,790.16/x
  3. Step 3: Cross multiply
    11,207.91x = 16,790.16 × 16,790.16
  4. Step 4: Simplify right side
    11,207.91x = 281,909,346.90
  5. Step 5: Solve for x
    x = 281,909,346.90/11,207.91
  6. Step 6: Final answer
    x = 25,152.72

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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.