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Finding the Third Proportional to 24,942 and 53,343

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Solution

The third proportional to 24,942 and 53,343 is: 114,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942 : 53,343 = 53,343 : x
  2. Step 2: Convert to fraction form
    24,942/53,343 = 53,343/x
  3. Step 3: Cross multiply
    24,942x = 53,343 × 53,343
  4. Step 4: Simplify right side
    24,942x = 2,845,475,649
  5. Step 5: Solve for x
    x = 2,845,475,649/24,942
  6. Step 6: Final answer
    x = 114,083.70

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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.