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Finding the Third Proportional to 37,381.50 and 62,299.13

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Solution

The third proportional to 37,381.50 and 62,299.13 is: 103,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,381.50 : 62,299.13 = 62,299.13 : x
  2. Step 2: Convert to fraction form
    37,381.50/62,299.13 = 62,299.13/x
  3. Step 3: Cross multiply
    37,381.50x = 62,299.13 × 62,299.13
  4. Step 4: Simplify right side
    37,381.50x = 3,881,180,975.77
  5. Step 5: Solve for x
    x = 3,881,180,975.77/37,381.50
  6. Step 6: Final answer
    x = 103,826.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.