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Finding the Third Proportional to 45,949.69 and 70,276.31

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Solution

The third proportional to 45,949.69 and 70,276.31 is: 107,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,949.69 : 70,276.31 = 70,276.31 : x
  2. Step 2: Convert to fraction form
    45,949.69/70,276.31 = 70,276.31/x
  3. Step 3: Cross multiply
    45,949.69x = 70,276.31 × 70,276.31
  4. Step 4: Simplify right side
    45,949.69x = 4,938,760,098.60
  5. Step 5: Solve for x
    x = 4,938,760,098.60/45,949.69
  6. Step 6: Final answer
    x = 107,481.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.