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Finding the Third Proportional to 25,502.25 and 55,101.75

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Solution

The third proportional to 25,502.25 and 55,101.75 is: 119,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,502.25 : 55,101.75 = 55,101.75 : x
  2. Step 2: Convert to fraction form
    25,502.25/55,101.75 = 55,101.75/x
  3. Step 3: Cross multiply
    25,502.25x = 55,101.75 × 55,101.75
  4. Step 4: Simplify right side
    25,502.25x = 3,036,202,853.06
  5. Step 5: Solve for x
    x = 3,036,202,853.06/25,502.25
  6. Step 6: Final answer
    x = 119,056.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.