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Finding the Third Proportional to 37,124 and 53,638

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Solution

The third proportional to 37,124 and 53,638 is: 77,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,124 : 53,638 = 53,638 : x
  2. Step 2: Convert to fraction form
    37,124/53,638 = 53,638/x
  3. Step 3: Cross multiply
    37,124x = 53,638 × 53,638
  4. Step 4: Simplify right side
    37,124x = 2,877,035,044
  5. Step 5: Solve for x
    x = 2,877,035,044/37,124
  6. Step 6: Final answer
    x = 77,497.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.