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Finding the Third Proportional to 5,820.19 and 12,171.94

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Solution

The third proportional to 5,820.19 and 12,171.94 is: 25,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.19 : 12,171.94 = 12,171.94 : x
  2. Step 2: Convert to fraction form
    5,820.19/12,171.94 = 12,171.94/x
  3. Step 3: Cross multiply
    5,820.19x = 12,171.94 × 12,171.94
  4. Step 4: Simplify right side
    5,820.19x = 148,156,062.50
  5. Step 5: Solve for x
    x = 148,156,062.50/5,820.19
  6. Step 6: Final answer
    x = 25,455.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.