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Finding the Third Proportional to 25,971 and 56,317

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Solution

The third proportional to 25,971 and 56,317 is: 122,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971 : 56,317 = 56,317 : x
  2. Step 2: Convert to fraction form
    25,971/56,317 = 56,317/x
  3. Step 3: Cross multiply
    25,971x = 56,317 × 56,317
  4. Step 4: Simplify right side
    25,971x = 3,171,604,489
  5. Step 5: Solve for x
    x = 3,171,604,489/25,971
  6. Step 6: Final answer
    x = 122,121.00

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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.