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Finding the Third Proportional to 25,297 and 36,441

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Solution

The third proportional to 25,297 and 36,441 is: 52,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297 : 36,441 = 36,441 : x
  2. Step 2: Convert to fraction form
    25,297/36,441 = 36,441/x
  3. Step 3: Cross multiply
    25,297x = 36,441 × 36,441
  4. Step 4: Simplify right side
    25,297x = 1,327,946,481
  5. Step 5: Solve for x
    x = 1,327,946,481/25,297
  6. Step 6: Final answer
    x = 52,494.23

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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.