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Finding the Third Proportional to 37,091 and 82,475

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Solution

The third proportional to 37,091 and 82,475 is: 183,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,091 : 82,475 = 82,475 : x
  2. Step 2: Convert to fraction form
    37,091/82,475 = 82,475/x
  3. Step 3: Cross multiply
    37,091x = 82,475 × 82,475
  4. Step 4: Simplify right side
    37,091x = 6,802,125,625
  5. Step 5: Solve for x
    x = 6,802,125,625/37,091
  6. Step 6: Final answer
    x = 183,390.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.