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Finding the Third Proportional to 25,598.25 and 52,472.25

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Solution

The third proportional to 25,598.25 and 52,472.25 is: 107,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598.25 : 52,472.25 = 52,472.25 : x
  2. Step 2: Convert to fraction form
    25,598.25/52,472.25 = 52,472.25/x
  3. Step 3: Cross multiply
    25,598.25x = 52,472.25 × 52,472.25
  4. Step 4: Simplify right side
    25,598.25x = 2,753,337,020.06
  5. Step 5: Solve for x
    x = 2,753,337,020.06/25,598.25
  6. Step 6: Final answer
    x = 107,559.58

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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.