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Finding the Third Proportional to 37,423.50 and 81,837

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Solution

The third proportional to 37,423.50 and 81,837 is: 178,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,423.50 : 81,837 = 81,837 : x
  2. Step 2: Convert to fraction form
    37,423.50/81,837 = 81,837/x
  3. Step 3: Cross multiply
    37,423.50x = 81,837 × 81,837
  4. Step 4: Simplify right side
    37,423.50x = 6,697,294,569
  5. Step 5: Solve for x
    x = 6,697,294,569/37,423.50
  6. Step 6: Final answer
    x = 178,959.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.