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Finding the Third Proportional to 4,494.23 and 7,034.77

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Solution

The third proportional to 4,494.23 and 7,034.77 is: 11,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.23 : 7,034.77 = 7,034.77 : x
  2. Step 2: Convert to fraction form
    4,494.23/7,034.77 = 7,034.77/x
  3. Step 3: Cross multiply
    4,494.23x = 7,034.77 × 7,034.77
  4. Step 4: Simplify right side
    4,494.23x = 49,487,927.40
  5. Step 5: Solve for x
    x = 49,487,927.40/4,494.23
  6. Step 6: Final answer
    x = 11,011.43

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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.