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Finding the Third Proportional to 25,639 and 55,652

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Solution

The third proportional to 25,639 and 55,652 is: 120,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,639 : 55,652 = 55,652 : x
  2. Step 2: Convert to fraction form
    25,639/55,652 = 55,652/x
  3. Step 3: Cross multiply
    25,639x = 55,652 × 55,652
  4. Step 4: Simplify right side
    25,639x = 3,097,145,104
  5. Step 5: Solve for x
    x = 3,097,145,104/25,639
  6. Step 6: Final answer
    x = 120,798.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.