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Finding the Third Proportional to 37,444 and 82,340

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Solution

The third proportional to 37,444 and 82,340 is: 181,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,444 : 82,340 = 82,340 : x
  2. Step 2: Convert to fraction form
    37,444/82,340 = 82,340/x
  3. Step 3: Cross multiply
    37,444x = 82,340 × 82,340
  4. Step 4: Simplify right side
    37,444x = 6,779,875,600
  5. Step 5: Solve for x
    x = 6,779,875,600/37,444
  6. Step 6: Final answer
    x = 181,067.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.