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Finding the Third Proportional to 35,842 and 54,999

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Solution

The third proportional to 35,842 and 54,999 is: 84,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842 : 54,999 = 54,999 : x
  2. Step 2: Convert to fraction form
    35,842/54,999 = 54,999/x
  3. Step 3: Cross multiply
    35,842x = 54,999 × 54,999
  4. Step 4: Simplify right side
    35,842x = 3,024,890,001
  5. Step 5: Solve for x
    x = 3,024,890,001/35,842
  6. Step 6: Final answer
    x = 84,395.12

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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.