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Finding the Third Proportional to 37,006 and 54,529

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Solution

The third proportional to 37,006 and 54,529 is: 80,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,006 : 54,529 = 54,529 : x
  2. Step 2: Convert to fraction form
    37,006/54,529 = 54,529/x
  3. Step 3: Cross multiply
    37,006x = 54,529 × 54,529
  4. Step 4: Simplify right side
    37,006x = 2,973,411,841
  5. Step 5: Solve for x
    x = 2,973,411,841/37,006
  6. Step 6: Final answer
    x = 80,349.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.