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Finding the Third Proportional to 37,512 and 85,464

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Solution

The third proportional to 37,512 and 85,464 is: 194,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,512 : 85,464 = 85,464 : x
  2. Step 2: Convert to fraction form
    37,512/85,464 = 85,464/x
  3. Step 3: Cross multiply
    37,512x = 85,464 × 85,464
  4. Step 4: Simplify right side
    37,512x = 7,304,095,296
  5. Step 5: Solve for x
    x = 7,304,095,296/37,512
  6. Step 6: Final answer
    x = 194,713.57

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.