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Finding the Third Proportional to 46,976.50 and 109,632

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Solution

The third proportional to 46,976.50 and 109,632 is: 255,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,976.50 : 109,632 = 109,632 : x
  2. Step 2: Convert to fraction form
    46,976.50/109,632 = 109,632/x
  3. Step 3: Cross multiply
    46,976.50x = 109,632 × 109,632
  4. Step 4: Simplify right side
    46,976.50x = 12,019,175,424
  5. Step 5: Solve for x
    x = 12,019,175,424/46,976.50
  6. Step 6: Final answer
    x = 255,855.06

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.