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Finding the Third Proportional to 25,299 and 36,438.75

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Solution

The third proportional to 25,299 and 36,438.75 is: 52,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,299 : 36,438.75 = 36,438.75 : x
  2. Step 2: Convert to fraction form
    25,299/36,438.75 = 36,438.75/x
  3. Step 3: Cross multiply
    25,299x = 36,438.75 × 36,438.75
  4. Step 4: Simplify right side
    25,299x = 1,327,782,501.56
  5. Step 5: Solve for x
    x = 1,327,782,501.56/25,299
  6. Step 6: Final answer
    x = 52,483.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.