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Finding the Third Proportional to 41,570 and 62,191

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Solution

The third proportional to 41,570 and 62,191 is: 93,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,570 : 62,191 = 62,191 : x
  2. Step 2: Convert to fraction form
    41,570/62,191 = 62,191/x
  3. Step 3: Cross multiply
    41,570x = 62,191 × 62,191
  4. Step 4: Simplify right side
    41,570x = 3,867,720,481
  5. Step 5: Solve for x
    x = 3,867,720,481/41,570
  6. Step 6: Final answer
    x = 93,041.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.