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Finding the Third Proportional to 37,052.44 and 82,394.72

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Solution

The third proportional to 37,052.44 and 82,394.72 is: 183,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,052.44 : 82,394.72 = 82,394.72 : x
  2. Step 2: Convert to fraction form
    37,052.44/82,394.72 = 82,394.72/x
  3. Step 3: Cross multiply
    37,052.44x = 82,394.72 × 82,394.72
  4. Step 4: Simplify right side
    37,052.44x = 6,788,889,677.89
  5. Step 5: Solve for x
    x = 6,788,889,677.89/37,052.44
  6. Step 6: Final answer
    x = 183,223.83

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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.