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Finding the Third Proportional to 9,099.84 and 19,590.19

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Solution

The third proportional to 9,099.84 and 19,590.19 is: 42,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.84 : 19,590.19 = 19,590.19 : x
  2. Step 2: Convert to fraction form
    9,099.84/19,590.19 = 19,590.19/x
  3. Step 3: Cross multiply
    9,099.84x = 19,590.19 × 19,590.19
  4. Step 4: Simplify right side
    9,099.84x = 383,775,446.29
  5. Step 5: Solve for x
    x = 383,775,446.29/9,099.84
  6. Step 6: Final answer
    x = 42,173.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.