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Finding the Third Proportional to 29,961.56 and 65,560.22

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Solution

The third proportional to 29,961.56 and 65,560.22 is: 143,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961.56 : 65,560.22 = 65,560.22 : x
  2. Step 2: Convert to fraction form
    29,961.56/65,560.22 = 65,560.22/x
  3. Step 3: Cross multiply
    29,961.56x = 65,560.22 × 65,560.22
  4. Step 4: Simplify right side
    29,961.56x = 4,298,142,282.55
  5. Step 5: Solve for x
    x = 4,298,142,282.55/29,961.56
  6. Step 6: Final answer
    x = 143,455.21

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