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Finding the Third Proportional to 5,592.09 and 12,189.09

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Solution

The third proportional to 5,592.09 and 12,189.09 is: 26,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,592.09 : 12,189.09 = 12,189.09 : x
  2. Step 2: Convert to fraction form
    5,592.09/12,189.09 = 12,189.09/x
  3. Step 3: Cross multiply
    5,592.09x = 12,189.09 × 12,189.09
  4. Step 4: Simplify right side
    5,592.09x = 148,574,006.45
  5. Step 5: Solve for x
    x = 148,574,006.45/5,592.09
  6. Step 6: Final answer
    x = 26,568.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.