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Finding the Third Proportional to 35,056 and 53,884

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Solution

The third proportional to 35,056 and 53,884 is: 82,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,056 : 53,884 = 53,884 : x
  2. Step 2: Convert to fraction form
    35,056/53,884 = 53,884/x
  3. Step 3: Cross multiply
    35,056x = 53,884 × 53,884
  4. Step 4: Simplify right side
    35,056x = 2,903,485,456
  5. Step 5: Solve for x
    x = 2,903,485,456/35,056
  6. Step 6: Final answer
    x = 82,824.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.