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Finding the Third Proportional to 20,102 and 25,536

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Solution

The third proportional to 20,102 and 25,536 is: 32,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 25,536 = 25,536 : x
  2. Step 2: Convert to fraction form
    20,102/25,536 = 25,536/x
  3. Step 3: Cross multiply
    20,102x = 25,536 × 25,536
  4. Step 4: Simplify right side
    20,102x = 652,087,296
  5. Step 5: Solve for x
    x = 652,087,296/20,102
  6. Step 6: Final answer
    x = 32,438.93

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.