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Finding the Third Proportional to 41,491.50 and 89,985

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Solution

The third proportional to 41,491.50 and 89,985 is: 195,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,491.50 : 89,985 = 89,985 : x
  2. Step 2: Convert to fraction form
    41,491.50/89,985 = 89,985/x
  3. Step 3: Cross multiply
    41,491.50x = 89,985 × 89,985
  4. Step 4: Simplify right side
    41,491.50x = 8,097,300,225
  5. Step 5: Solve for x
    x = 8,097,300,225/41,491.50
  6. Step 6: Final answer
    x = 195,155.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.