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Finding the Third Proportional to 37,131 and 49,237

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Solution

The third proportional to 37,131 and 49,237 is: 65,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,131 : 49,237 = 49,237 : x
  2. Step 2: Convert to fraction form
    37,131/49,237 = 49,237/x
  3. Step 3: Cross multiply
    37,131x = 49,237 × 49,237
  4. Step 4: Simplify right side
    37,131x = 2,424,282,169
  5. Step 5: Solve for x
    x = 2,424,282,169/37,131
  6. Step 6: Final answer
    x = 65,289.98

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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.