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Finding the Third Proportional to 23,001 and 51,298

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Solution

The third proportional to 23,001 and 51,298 is: 114,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,001 : 51,298 = 51,298 : x
  2. Step 2: Convert to fraction form
    23,001/51,298 = 51,298/x
  3. Step 3: Cross multiply
    23,001x = 51,298 × 51,298
  4. Step 4: Simplify right side
    23,001x = 2,631,484,804
  5. Step 5: Solve for x
    x = 2,631,484,804/23,001
  6. Step 6: Final answer
    x = 114,407.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.