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Finding the Third Proportional to 9,130.22 and 12,191.77

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Solution

The third proportional to 9,130.22 and 12,191.77 is: 16,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.22 : 12,191.77 = 12,191.77 : x
  2. Step 2: Convert to fraction form
    9,130.22/12,191.77 = 12,191.77/x
  3. Step 3: Cross multiply
    9,130.22x = 12,191.77 × 12,191.77
  4. Step 4: Simplify right side
    9,130.22x = 148,639,149.05
  5. Step 5: Solve for x
    x = 148,639,149.05/9,130.22
  6. Step 6: Final answer
    x = 16,279.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.