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Finding the Third Proportional to 44,665.50 and 94,515

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Solution

The third proportional to 44,665.50 and 94,515 is: 199,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,665.50 : 94,515 = 94,515 : x
  2. Step 2: Convert to fraction form
    44,665.50/94,515 = 94,515/x
  3. Step 3: Cross multiply
    44,665.50x = 94,515 × 94,515
  4. Step 4: Simplify right side
    44,665.50x = 8,933,085,225
  5. Step 5: Solve for x
    x = 8,933,085,225/44,665.50
  6. Step 6: Final answer
    x = 199,999.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.