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Finding the Third Proportional to 25,256.25 and 52,152.75

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Solution

The third proportional to 25,256.25 and 52,152.75 is: 107,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,256.25 : 52,152.75 = 52,152.75 : x
  2. Step 2: Convert to fraction form
    25,256.25/52,152.75 = 52,152.75/x
  3. Step 3: Cross multiply
    25,256.25x = 52,152.75 × 52,152.75
  4. Step 4: Simplify right side
    25,256.25x = 2,719,909,332.56
  5. Step 5: Solve for x
    x = 2,719,909,332.56/25,256.25
  6. Step 6: Final answer
    x = 107,692.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.