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Finding the Third Proportional to 25,921 and 56,525

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Solution

The third proportional to 25,921 and 56,525 is: 123,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,921 : 56,525 = 56,525 : x
  2. Step 2: Convert to fraction form
    25,921/56,525 = 56,525/x
  3. Step 3: Cross multiply
    25,921x = 56,525 × 56,525
  4. Step 4: Simplify right side
    25,921x = 3,195,075,625
  5. Step 5: Solve for x
    x = 3,195,075,625/25,921
  6. Step 6: Final answer
    x = 123,262.05

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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.