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Finding the Third Proportional to 25,969 and 56,313

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Solution

The third proportional to 25,969 and 56,313 is: 122,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,969 : 56,313 = 56,313 : x
  2. Step 2: Convert to fraction form
    25,969/56,313 = 56,313/x
  3. Step 3: Cross multiply
    25,969x = 56,313 × 56,313
  4. Step 4: Simplify right side
    25,969x = 3,171,153,969
  5. Step 5: Solve for x
    x = 3,171,153,969/25,969
  6. Step 6: Final answer
    x = 122,113.06

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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.