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Finding the Third Proportional to 35,252 and 53,994

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Solution

The third proportional to 35,252 and 53,994 is: 82,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,252 : 53,994 = 53,994 : x
  2. Step 2: Convert to fraction form
    35,252/53,994 = 53,994/x
  3. Step 3: Cross multiply
    35,252x = 53,994 × 53,994
  4. Step 4: Simplify right side
    35,252x = 2,915,352,036
  5. Step 5: Solve for x
    x = 2,915,352,036/35,252
  6. Step 6: Final answer
    x = 82,700.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.