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Finding the Third Proportional to 35,032 and 53,836

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Solution

The third proportional to 35,032 and 53,836 is: 82,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,032 : 53,836 = 53,836 : x
  2. Step 2: Convert to fraction form
    35,032/53,836 = 53,836/x
  3. Step 3: Cross multiply
    35,032x = 53,836 × 53,836
  4. Step 4: Simplify right side
    35,032x = 2,898,314,896
  5. Step 5: Solve for x
    x = 2,898,314,896/35,032
  6. Step 6: Final answer
    x = 82,733.36

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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.