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Finding the Third Proportional to 11,946 and 25,937

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Solution

The third proportional to 11,946 and 25,937 is: 56,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946 : 25,937 = 25,937 : x
  2. Step 2: Convert to fraction form
    11,946/25,937 = 25,937/x
  3. Step 3: Cross multiply
    11,946x = 25,937 × 25,937
  4. Step 4: Simplify right side
    11,946x = 672,727,969
  5. Step 5: Solve for x
    x = 672,727,969/11,946
  6. Step 6: Final answer
    x = 56,314.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.