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Finding the Third Proportional to 24,381 and 53,014

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Solution

The third proportional to 24,381 and 53,014 is: 115,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381 : 53,014 = 53,014 : x
  2. Step 2: Convert to fraction form
    24,381/53,014 = 53,014/x
  3. Step 3: Cross multiply
    24,381x = 53,014 × 53,014
  4. Step 4: Simplify right side
    24,381x = 2,810,484,196
  5. Step 5: Solve for x
    x = 2,810,484,196/24,381
  6. Step 6: Final answer
    x = 115,273.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.