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Finding the Third Proportional to 38,480 and 91,704

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Solution

The third proportional to 38,480 and 91,704 is: 218,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480 : 91,704 = 91,704 : x
  2. Step 2: Convert to fraction form
    38,480/91,704 = 91,704/x
  3. Step 3: Cross multiply
    38,480x = 91,704 × 91,704
  4. Step 4: Simplify right side
    38,480x = 8,409,623,616
  5. Step 5: Solve for x
    x = 8,409,623,616/38,480
  6. Step 6: Final answer
    x = 218,545.31

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.