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Finding the Third Proportional to 2,262.94 and 4,951.13

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Solution

The third proportional to 2,262.94 and 4,951.13 is: 10,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.94 : 4,951.13 = 4,951.13 : x
  2. Step 2: Convert to fraction form
    2,262.94/4,951.13 = 4,951.13/x
  3. Step 3: Cross multiply
    2,262.94x = 4,951.13 × 4,951.13
  4. Step 4: Simplify right side
    2,262.94x = 24,513,638.77
  5. Step 5: Solve for x
    x = 24,513,638.77/2,262.94
  6. Step 6: Final answer
    x = 10,832.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.