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Finding the Third Proportional to 37,328.75 and 81,217.75

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Solution

The third proportional to 37,328.75 and 81,217.75 is: 176,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328.75 : 81,217.75 = 81,217.75 : x
  2. Step 2: Convert to fraction form
    37,328.75/81,217.75 = 81,217.75/x
  3. Step 3: Cross multiply
    37,328.75x = 81,217.75 × 81,217.75
  4. Step 4: Simplify right side
    37,328.75x = 6,596,322,915.06
  5. Step 5: Solve for x
    x = 6,596,322,915.06/37,328.75
  6. Step 6: Final answer
    x = 176,708.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.