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Finding the Third Proportional to 25,115 and 53,562

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Solution

The third proportional to 25,115 and 53,562 is: 114,230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,115 : 53,562 = 53,562 : x
  2. Step 2: Convert to fraction form
    25,115/53,562 = 53,562/x
  3. Step 3: Cross multiply
    25,115x = 53,562 × 53,562
  4. Step 4: Simplify right side
    25,115x = 2,868,887,844
  5. Step 5: Solve for x
    x = 2,868,887,844/25,115
  6. Step 6: Final answer
    x = 114,230.06

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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.