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Finding the Third Proportional to 25,029 and 53,338

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Solution

The third proportional to 25,029 and 53,338 is: 113,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,029 : 53,338 = 53,338 : x
  2. Step 2: Convert to fraction form
    25,029/53,338 = 53,338/x
  3. Step 3: Cross multiply
    25,029x = 53,338 × 53,338
  4. Step 4: Simplify right side
    25,029x = 2,844,942,244
  5. Step 5: Solve for x
    x = 2,844,942,244/25,029
  6. Step 6: Final answer
    x = 113,665.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.