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Finding the Third Proportional to 23,527 and 48,997

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Solution

The third proportional to 23,527 and 48,997 is: 102,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527 : 48,997 = 48,997 : x
  2. Step 2: Convert to fraction form
    23,527/48,997 = 48,997/x
  3. Step 3: Cross multiply
    23,527x = 48,997 × 48,997
  4. Step 4: Simplify right side
    23,527x = 2,400,706,009
  5. Step 5: Solve for x
    x = 2,400,706,009/23,527
  6. Step 6: Final answer
    x = 102,040.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.