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Finding the Third Proportional to 25,650 and 54,702

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Solution

The third proportional to 25,650 and 54,702 is: 116,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,650 : 54,702 = 54,702 : x
  2. Step 2: Convert to fraction form
    25,650/54,702 = 54,702/x
  3. Step 3: Cross multiply
    25,650x = 54,702 × 54,702
  4. Step 4: Simplify right side
    25,650x = 2,992,308,804
  5. Step 5: Solve for x
    x = 2,992,308,804/25,650
  6. Step 6: Final answer
    x = 116,659.21

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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.