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Finding the Third Proportional to 39,190 and 60,702

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Solution

The third proportional to 39,190 and 60,702 is: 94,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,190 : 60,702 = 60,702 : x
  2. Step 2: Convert to fraction form
    39,190/60,702 = 60,702/x
  3. Step 3: Cross multiply
    39,190x = 60,702 × 60,702
  4. Step 4: Simplify right side
    39,190x = 3,684,732,804
  5. Step 5: Solve for x
    x = 3,684,732,804/39,190
  6. Step 6: Final answer
    x = 94,022.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.