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Finding the Third Proportional to 25,203 and 52,476

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Solution

The third proportional to 25,203 and 52,476 is: 109,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203 : 52,476 = 52,476 : x
  2. Step 2: Convert to fraction form
    25,203/52,476 = 52,476/x
  3. Step 3: Cross multiply
    25,203x = 52,476 × 52,476
  4. Step 4: Simplify right side
    25,203x = 2,753,730,576
  5. Step 5: Solve for x
    x = 2,753,730,576/25,203
  6. Step 6: Final answer
    x = 109,262.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.