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Finding the Third Proportional to 10,712 and 22,923

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Solution

The third proportional to 10,712 and 22,923 is: 49,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712 : 22,923 = 22,923 : x
  2. Step 2: Convert to fraction form
    10,712/22,923 = 22,923/x
  3. Step 3: Cross multiply
    10,712x = 22,923 × 22,923
  4. Step 4: Simplify right side
    10,712x = 525,463,929
  5. Step 5: Solve for x
    x = 525,463,929/10,712
  6. Step 6: Final answer
    x = 49,053.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.