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Finding the Third Proportional to 25,065 and 53,381

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Solution

The third proportional to 25,065 and 53,381 is: 113,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,065 : 53,381 = 53,381 : x
  2. Step 2: Convert to fraction form
    25,065/53,381 = 53,381/x
  3. Step 3: Cross multiply
    25,065x = 53,381 × 53,381
  4. Step 4: Simplify right side
    25,065x = 2,849,531,161
  5. Step 5: Solve for x
    x = 2,849,531,161/25,065
  6. Step 6: Final answer
    x = 113,685.66

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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.