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Finding the Third Proportional to 25,614 and 55,716

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Solution

The third proportional to 25,614 and 55,716 is: 121,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614 : 55,716 = 55,716 : x
  2. Step 2: Convert to fraction form
    25,614/55,716 = 55,716/x
  3. Step 3: Cross multiply
    25,614x = 55,716 × 55,716
  4. Step 4: Simplify right side
    25,614x = 3,104,272,656
  5. Step 5: Solve for x
    x = 3,104,272,656/25,614
  6. Step 6: Final answer
    x = 121,194.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.