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Finding the Third Proportional to 2,623.13 and 4,110.56

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Solution

The third proportional to 2,623.13 and 4,110.56 is: 6,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.13 : 4,110.56 = 4,110.56 : x
  2. Step 2: Convert to fraction form
    2,623.13/4,110.56 = 4,110.56/x
  3. Step 3: Cross multiply
    2,623.13x = 4,110.56 × 4,110.56
  4. Step 4: Simplify right side
    2,623.13x = 16,896,724.07
  5. Step 5: Solve for x
    x = 16,896,724.07/2,623.13
  6. Step 6: Final answer
    x = 6,441.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.