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Finding the Third Proportional to 25,555 and 55,970

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Solution

The third proportional to 25,555 and 55,970 is: 122,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,555 : 55,970 = 55,970 : x
  2. Step 2: Convert to fraction form
    25,555/55,970 = 55,970/x
  3. Step 3: Cross multiply
    25,555x = 55,970 × 55,970
  4. Step 4: Simplify right side
    25,555x = 3,132,640,900
  5. Step 5: Solve for x
    x = 3,132,640,900/25,555
  6. Step 6: Final answer
    x = 122,584.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.