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Finding the Third Proportional to 37,029 and 57,444

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Solution

The third proportional to 37,029 and 57,444 is: 89,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,029 : 57,444 = 57,444 : x
  2. Step 2: Convert to fraction form
    37,029/57,444 = 57,444/x
  3. Step 3: Cross multiply
    37,029x = 57,444 × 57,444
  4. Step 4: Simplify right side
    37,029x = 3,299,813,136
  5. Step 5: Solve for x
    x = 3,299,813,136/37,029
  6. Step 6: Final answer
    x = 89,114.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.