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Finding the Third Proportional to 34,028 and 51,076

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Solution

The third proportional to 34,028 and 51,076 is: 76,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,028 : 51,076 = 51,076 : x
  2. Step 2: Convert to fraction form
    34,028/51,076 = 51,076/x
  3. Step 3: Cross multiply
    34,028x = 51,076 × 51,076
  4. Step 4: Simplify right side
    34,028x = 2,608,757,776
  5. Step 5: Solve for x
    x = 2,608,757,776/34,028
  6. Step 6: Final answer
    x = 76,665.03

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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.