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Finding the Third Proportional to 37,410 and 62,343

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Solution

The third proportional to 37,410 and 62,343 is: 103,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,410 : 62,343 = 62,343 : x
  2. Step 2: Convert to fraction form
    37,410/62,343 = 62,343/x
  3. Step 3: Cross multiply
    37,410x = 62,343 × 62,343
  4. Step 4: Simplify right side
    37,410x = 3,886,649,649
  5. Step 5: Solve for x
    x = 3,886,649,649/37,410
  6. Step 6: Final answer
    x = 103,893.33

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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.