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Finding the Third Proportional to 35,128 and 52,844

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Solution

The third proportional to 35,128 and 52,844 is: 79,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,128 : 52,844 = 52,844 : x
  2. Step 2: Convert to fraction form
    35,128/52,844 = 52,844/x
  3. Step 3: Cross multiply
    35,128x = 52,844 × 52,844
  4. Step 4: Simplify right side
    35,128x = 2,792,488,336
  5. Step 5: Solve for x
    x = 2,792,488,336/35,128
  6. Step 6: Final answer
    x = 79,494.66

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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.