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Finding the Third Proportional to 37,138 and 49,246

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Solution

The third proportional to 37,138 and 49,246 is: 65,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138 : 49,246 = 49,246 : x
  2. Step 2: Convert to fraction form
    37,138/49,246 = 49,246/x
  3. Step 3: Cross multiply
    37,138x = 49,246 × 49,246
  4. Step 4: Simplify right side
    37,138x = 2,425,168,516
  5. Step 5: Solve for x
    x = 2,425,168,516/37,138
  6. Step 6: Final answer
    x = 65,301.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.