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Finding the Third Proportional to 29,241.25 and 61,970.63

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Solution

The third proportional to 29,241.25 and 61,970.63 is: 131,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,241.25 : 61,970.63 = 61,970.63 : x
  2. Step 2: Convert to fraction form
    29,241.25/61,970.63 = 61,970.63/x
  3. Step 3: Cross multiply
    29,241.25x = 61,970.63 × 61,970.63
  4. Step 4: Simplify right side
    29,241.25x = 3,840,358,362.89
  5. Step 5: Solve for x
    x = 3,840,358,362.89/29,241.25
  6. Step 6: Final answer
    x = 131,333.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.