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Finding the Third Proportional to 2,864.98 and 6,041.07

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Solution

The third proportional to 2,864.98 and 6,041.07 is: 12,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.98 : 6,041.07 = 6,041.07 : x
  2. Step 2: Convert to fraction form
    2,864.98/6,041.07 = 6,041.07/x
  3. Step 3: Cross multiply
    2,864.98x = 6,041.07 × 6,041.07
  4. Step 4: Simplify right side
    2,864.98x = 36,494,471.53
  5. Step 5: Solve for x
    x = 36,494,471.53/2,864.98
  6. Step 6: Final answer
    x = 12,738.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.