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Finding the Third Proportional to 34,928 and 51,904

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Solution

The third proportional to 34,928 and 51,904 is: 77,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,928 : 51,904 = 51,904 : x
  2. Step 2: Convert to fraction form
    34,928/51,904 = 51,904/x
  3. Step 3: Cross multiply
    34,928x = 51,904 × 51,904
  4. Step 4: Simplify right side
    34,928x = 2,694,025,216
  5. Step 5: Solve for x
    x = 2,694,025,216/34,928
  6. Step 6: Final answer
    x = 77,130.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.