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Finding the Third Proportional to 6,003.84 and 13,045.92

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Solution

The third proportional to 6,003.84 and 13,045.92 is: 28,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.84 : 13,045.92 = 13,045.92 : x
  2. Step 2: Convert to fraction form
    6,003.84/13,045.92 = 13,045.92/x
  3. Step 3: Cross multiply
    6,003.84x = 13,045.92 × 13,045.92
  4. Step 4: Simplify right side
    6,003.84x = 170,196,077.57
  5. Step 5: Solve for x
    x = 170,196,077.57/6,003.84
  6. Step 6: Final answer
    x = 28,347.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.