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Finding the Third Proportional to 35,048 and 75,928

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Solution

The third proportional to 35,048 and 75,928 is: 164,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,048 : 75,928 = 75,928 : x
  2. Step 2: Convert to fraction form
    35,048/75,928 = 75,928/x
  3. Step 3: Cross multiply
    35,048x = 75,928 × 75,928
  4. Step 4: Simplify right side
    35,048x = 5,765,061,184
  5. Step 5: Solve for x
    x = 5,765,061,184/35,048
  6. Step 6: Final answer
    x = 164,490.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.