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Finding the Third Proportional to 11,701.97 and 18,152.86

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Solution

The third proportional to 11,701.97 and 18,152.86 is: 28,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.97 : 18,152.86 = 18,152.86 : x
  2. Step 2: Convert to fraction form
    11,701.97/18,152.86 = 18,152.86/x
  3. Step 3: Cross multiply
    11,701.97x = 18,152.86 × 18,152.86
  4. Step 4: Simplify right side
    11,701.97x = 329,526,303.49
  5. Step 5: Solve for x
    x = 329,526,303.49/11,701.97
  6. Step 6: Final answer
    x = 28,159.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.