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Finding the Third Proportional to 2,305.97 and 4,973.91

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Solution

The third proportional to 2,305.97 and 4,973.91 is: 10,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.97 : 4,973.91 = 4,973.91 : x
  2. Step 2: Convert to fraction form
    2,305.97/4,973.91 = 4,973.91/x
  3. Step 3: Cross multiply
    2,305.97x = 4,973.91 × 4,973.91
  4. Step 4: Simplify right side
    2,305.97x = 24,739,743.38
  5. Step 5: Solve for x
    x = 24,739,743.38/2,305.97
  6. Step 6: Final answer
    x = 10,728.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.