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Finding the Third Proportional to 25,356 and 55,005

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Solution

The third proportional to 25,356 and 55,005 is: 119,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,356 : 55,005 = 55,005 : x
  2. Step 2: Convert to fraction form
    25,356/55,005 = 55,005/x
  3. Step 3: Cross multiply
    25,356x = 55,005 × 55,005
  4. Step 4: Simplify right side
    25,356x = 3,025,550,025
  5. Step 5: Solve for x
    x = 3,025,550,025/25,356
  6. Step 6: Final answer
    x = 119,322.84

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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.