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Finding the Third Proportional to 7,077.38 and 14,601.94

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Solution

The third proportional to 7,077.38 and 14,601.94 is: 30,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.38 : 14,601.94 = 14,601.94 : x
  2. Step 2: Convert to fraction form
    7,077.38/14,601.94 = 14,601.94/x
  3. Step 3: Cross multiply
    7,077.38x = 14,601.94 × 14,601.94
  4. Step 4: Simplify right side
    7,077.38x = 213,216,578.75
  5. Step 5: Solve for x
    x = 213,216,578.75/7,077.38
  6. Step 6: Final answer
    x = 30,126.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.