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Finding the Third Proportional to 37,585.50 and 80,985

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Solution

The third proportional to 37,585.50 and 80,985 is: 174,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,585.50 : 80,985 = 80,985 : x
  2. Step 2: Convert to fraction form
    37,585.50/80,985 = 80,985/x
  3. Step 3: Cross multiply
    37,585.50x = 80,985 × 80,985
  4. Step 4: Simplify right side
    37,585.50x = 6,558,570,225
  5. Step 5: Solve for x
    x = 6,558,570,225/37,585.50
  6. Step 6: Final answer
    x = 174,497.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.