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Finding the Third Proportional to 30,785.06 and 74,730.09

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Solution

The third proportional to 30,785.06 and 74,730.09 is: 181,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.06 : 74,730.09 = 74,730.09 : x
  2. Step 2: Convert to fraction form
    30,785.06/74,730.09 = 74,730.09/x
  3. Step 3: Cross multiply
    30,785.06x = 74,730.09 × 74,730.09
  4. Step 4: Simplify right side
    30,785.06x = 5,584,586,911.88
  5. Step 5: Solve for x
    x = 5,584,586,911.88/30,785.06
  6. Step 6: Final answer
    x = 181,405.74

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.