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Finding the Third Proportional to 4,972.01 and 10,738.51

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Solution

The third proportional to 4,972.01 and 10,738.51 is: 23,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.01 : 10,738.51 = 10,738.51 : x
  2. Step 2: Convert to fraction form
    4,972.01/10,738.51 = 10,738.51/x
  3. Step 3: Cross multiply
    4,972.01x = 10,738.51 × 10,738.51
  4. Step 4: Simplify right side
    4,972.01x = 115,315,633.93
  5. Step 5: Solve for x
    x = 115,315,633.93/4,972.01
  6. Step 6: Final answer
    x = 23,192.97

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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.