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Finding the Third Proportional to 41,187 and 66,316.50

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Solution

The third proportional to 41,187 and 66,316.50 is: 106,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,187 : 66,316.50 = 66,316.50 : x
  2. Step 2: Convert to fraction form
    41,187/66,316.50 = 66,316.50/x
  3. Step 3: Cross multiply
    41,187x = 66,316.50 × 66,316.50
  4. Step 4: Simplify right side
    41,187x = 4,397,878,172.25
  5. Step 5: Solve for x
    x = 4,397,878,172.25/41,187
  6. Step 6: Final answer
    x = 106,778.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.