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Finding the Third Proportional to 25,182 and 53,355

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Solution

The third proportional to 25,182 and 53,355 is: 113,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182 : 53,355 = 53,355 : x
  2. Step 2: Convert to fraction form
    25,182/53,355 = 53,355/x
  3. Step 3: Cross multiply
    25,182x = 53,355 × 53,355
  4. Step 4: Simplify right side
    25,182x = 2,846,756,025
  5. Step 5: Solve for x
    x = 2,846,756,025/25,182
  6. Step 6: Final answer
    x = 113,047.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.