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Finding the Third Proportional to 29,656.13 and 34,884.56

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Solution

The third proportional to 29,656.13 and 34,884.56 is: 41,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656.13 : 34,884.56 = 34,884.56 : x
  2. Step 2: Convert to fraction form
    29,656.13/34,884.56 = 34,884.56/x
  3. Step 3: Cross multiply
    29,656.13x = 34,884.56 × 34,884.56
  4. Step 4: Simplify right side
    29,656.13x = 1,216,932,700.82
  5. Step 5: Solve for x
    x = 1,216,932,700.82/29,656.13
  6. Step 6: Final answer
    x = 41,034.78

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.