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Finding the Third Proportional to 46,620 and 72,722

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Solution

The third proportional to 46,620 and 72,722 is: 113,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,620 : 72,722 = 72,722 : x
  2. Step 2: Convert to fraction form
    46,620/72,722 = 72,722/x
  3. Step 3: Cross multiply
    46,620x = 72,722 × 72,722
  4. Step 4: Simplify right side
    46,620x = 5,288,489,284
  5. Step 5: Solve for x
    x = 5,288,489,284/46,620
  6. Step 6: Final answer
    x = 113,438.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.