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Finding the Third Proportional to 39,937 and 94,969

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Solution

The third proportional to 39,937 and 94,969 is: 225,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,937 : 94,969 = 94,969 : x
  2. Step 2: Convert to fraction form
    39,937/94,969 = 94,969/x
  3. Step 3: Cross multiply
    39,937x = 94,969 × 94,969
  4. Step 4: Simplify right side
    39,937x = 9,019,110,961
  5. Step 5: Solve for x
    x = 9,019,110,961/39,937
  6. Step 6: Final answer
    x = 225,833.46

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.