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Finding the Third Proportional to 35,912 and 54,842

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Solution

The third proportional to 35,912 and 54,842 is: 83,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,912 : 54,842 = 54,842 : x
  2. Step 2: Convert to fraction form
    35,912/54,842 = 54,842/x
  3. Step 3: Cross multiply
    35,912x = 54,842 × 54,842
  4. Step 4: Simplify right side
    35,912x = 3,007,644,964
  5. Step 5: Solve for x
    x = 3,007,644,964/35,912
  6. Step 6: Final answer
    x = 83,750.42

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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.