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Finding the Third Proportional to 30,241.69 and 62,012.25

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Solution

The third proportional to 30,241.69 and 62,012.25 is: 127,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241.69 : 62,012.25 = 62,012.25 : x
  2. Step 2: Convert to fraction form
    30,241.69/62,012.25 = 62,012.25/x
  3. Step 3: Cross multiply
    30,241.69x = 62,012.25 × 62,012.25
  4. Step 4: Simplify right side
    30,241.69x = 3,845,519,150.06
  5. Step 5: Solve for x
    x = 3,845,519,150.06/30,241.69
  6. Step 6: Final answer
    x = 127,159.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.