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Finding the Third Proportional to 30,508.31 and 46,192.78

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Solution

The third proportional to 30,508.31 and 46,192.78 is: 69,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.31 : 46,192.78 = 46,192.78 : x
  2. Step 2: Convert to fraction form
    30,508.31/46,192.78 = 46,192.78/x
  3. Step 3: Cross multiply
    30,508.31x = 46,192.78 × 46,192.78
  4. Step 4: Simplify right side
    30,508.31x = 2,133,773,039.61
  5. Step 5: Solve for x
    x = 2,133,773,039.61/30,508.31
  6. Step 6: Final answer
    x = 69,940.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.