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Finding the Third Proportional to 6,111.07 and 9,052.70

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Solution

The third proportional to 6,111.07 and 9,052.70 is: 13,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.07 : 9,052.70 = 9,052.70 : x
  2. Step 2: Convert to fraction form
    6,111.07/9,052.70 = 9,052.70/x
  3. Step 3: Cross multiply
    6,111.07x = 9,052.70 × 9,052.70
  4. Step 4: Simplify right side
    6,111.07x = 81,951,363.15
  5. Step 5: Solve for x
    x = 81,951,363.15/6,111.07
  6. Step 6: Final answer
    x = 13,410.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.