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Finding the Third Proportional to 37,078 and 54,637

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Solution

The third proportional to 37,078 and 54,637 is: 80,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,078 : 54,637 = 54,637 : x
  2. Step 2: Convert to fraction form
    37,078/54,637 = 54,637/x
  3. Step 3: Cross multiply
    37,078x = 54,637 × 54,637
  4. Step 4: Simplify right side
    37,078x = 2,985,201,769
  5. Step 5: Solve for x
    x = 2,985,201,769/37,078
  6. Step 6: Final answer
    x = 80,511.40

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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.