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Finding the Third Proportional to 25,566.19 and 52,401.09

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Solution

The third proportional to 25,566.19 and 52,401.09 is: 107,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,566.19 : 52,401.09 = 52,401.09 : x
  2. Step 2: Convert to fraction form
    25,566.19/52,401.09 = 52,401.09/x
  3. Step 3: Cross multiply
    25,566.19x = 52,401.09 × 52,401.09
  4. Step 4: Simplify right side
    25,566.19x = 2,745,874,626.20
  5. Step 5: Solve for x
    x = 2,745,874,626.20/25,566.19
  6. Step 6: Final answer
    x = 107,402.59

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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.