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Finding the Third Proportional to 34,772.06 and 74,462.06

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Solution

The third proportional to 34,772.06 and 74,462.06 is: 159,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772.06 : 74,462.06 = 74,462.06 : x
  2. Step 2: Convert to fraction form
    34,772.06/74,462.06 = 74,462.06/x
  3. Step 3: Cross multiply
    34,772.06x = 74,462.06 × 74,462.06
  4. Step 4: Simplify right side
    34,772.06x = 5,544,598,751.75
  5. Step 5: Solve for x
    x = 5,544,598,751.75/34,772.06
  6. Step 6: Final answer
    x = 159,455.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.