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Finding the Third Proportional to 25,563.94 and 52,401.94

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Solution

The third proportional to 25,563.94 and 52,401.94 is: 107,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,563.94 : 52,401.94 = 52,401.94 : x
  2. Step 2: Convert to fraction form
    25,563.94/52,401.94 = 52,401.94/x
  3. Step 3: Cross multiply
    25,563.94x = 52,401.94 × 52,401.94
  4. Step 4: Simplify right side
    25,563.94x = 2,745,963,053.75
  5. Step 5: Solve for x
    x = 2,745,963,053.75/25,563.94
  6. Step 6: Final answer
    x = 107,415.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.