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Finding the Third Proportional to 9,590.91 and 12,153.80

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Solution

The third proportional to 9,590.91 and 12,153.80 is: 15,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.91 : 12,153.80 = 12,153.80 : x
  2. Step 2: Convert to fraction form
    9,590.91/12,153.80 = 12,153.80/x
  3. Step 3: Cross multiply
    9,590.91x = 12,153.80 × 12,153.80
  4. Step 4: Simplify right side
    9,590.91x = 147,714,778.48
  5. Step 5: Solve for x
    x = 147,714,778.48/9,590.91
  6. Step 6: Final answer
    x = 15,401.55

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.