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Finding the Third Proportional to 34,012.41 and 51,052.78

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Solution

The third proportional to 34,012.41 and 51,052.78 is: 76,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012.41 : 51,052.78 = 51,052.78 : x
  2. Step 2: Convert to fraction form
    34,012.41/51,052.78 = 51,052.78/x
  3. Step 3: Cross multiply
    34,012.41x = 51,052.78 × 51,052.78
  4. Step 4: Simplify right side
    34,012.41x = 2,606,386,473.36
  5. Step 5: Solve for x
    x = 2,606,386,473.36/34,012.41
  6. Step 6: Final answer
    x = 76,630.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.