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Finding the Third Proportional to 25,976 and 56,755

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Solution

The third proportional to 25,976 and 56,755 is: 124,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,976 : 56,755 = 56,755 : x
  2. Step 2: Convert to fraction form
    25,976/56,755 = 56,755/x
  3. Step 3: Cross multiply
    25,976x = 56,755 × 56,755
  4. Step 4: Simplify right side
    25,976x = 3,221,130,025
  5. Step 5: Solve for x
    x = 3,221,130,025/25,976
  6. Step 6: Final answer
    x = 124,004.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.