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Finding the Third Proportional to 37,263 and 56,376

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Solution

The third proportional to 37,263 and 56,376 is: 85,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,263 : 56,376 = 56,376 : x
  2. Step 2: Convert to fraction form
    37,263/56,376 = 56,376/x
  3. Step 3: Cross multiply
    37,263x = 56,376 × 56,376
  4. Step 4: Simplify right side
    37,263x = 3,178,253,376
  5. Step 5: Solve for x
    x = 3,178,253,376/37,263
  6. Step 6: Final answer
    x = 85,292.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.