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Finding the Third Proportional to 4,072.15 and 6,054.12

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Solution

The third proportional to 4,072.15 and 6,054.12 is: 9,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.15 : 6,054.12 = 6,054.12 : x
  2. Step 2: Convert to fraction form
    4,072.15/6,054.12 = 6,054.12/x
  3. Step 3: Cross multiply
    4,072.15x = 6,054.12 × 6,054.12
  4. Step 4: Simplify right side
    4,072.15x = 36,652,334.92
  5. Step 5: Solve for x
    x = 36,652,334.92/4,072.15
  6. Step 6: Final answer
    x = 9,000.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.