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Finding the Third Proportional to 34,924.61 and 75,925.16

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Solution

The third proportional to 34,924.61 and 75,925.16 is: 165,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,924.61 : 75,925.16 = 75,925.16 : x
  2. Step 2: Convert to fraction form
    34,924.61/75,925.16 = 75,925.16/x
  3. Step 3: Cross multiply
    34,924.61x = 75,925.16 × 75,925.16
  4. Step 4: Simplify right side
    34,924.61x = 5,764,629,944.75
  5. Step 5: Solve for x
    x = 5,764,629,944.75/34,924.61
  6. Step 6: Final answer
    x = 165,059.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.