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Finding the Third Proportional to 2,247.19 and 4,953.38

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Solution

The third proportional to 2,247.19 and 4,953.38 is: 10,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.19 : 4,953.38 = 4,953.38 : x
  2. Step 2: Convert to fraction form
    2,247.19/4,953.38 = 4,953.38/x
  3. Step 3: Cross multiply
    2,247.19x = 4,953.38 × 4,953.38
  4. Step 4: Simplify right side
    2,247.19x = 24,535,923.89
  5. Step 5: Solve for x
    x = 24,535,923.89/2,247.19
  6. Step 6: Final answer
    x = 10,918.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.