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Finding the Third Proportional to 25,203 and 37,815

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Solution

The third proportional to 25,203 and 37,815 is: 56,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203 : 37,815 = 37,815 : x
  2. Step 2: Convert to fraction form
    25,203/37,815 = 37,815/x
  3. Step 3: Cross multiply
    25,203x = 37,815 × 37,815
  4. Step 4: Simplify right side
    25,203x = 1,429,974,225
  5. Step 5: Solve for x
    x = 1,429,974,225/25,203
  6. Step 6: Final answer
    x = 56,738.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.