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Finding the Third Proportional to 46,720 and 71,444

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Solution

The third proportional to 46,720 and 71,444 is: 109,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,720 : 71,444 = 71,444 : x
  2. Step 2: Convert to fraction form
    46,720/71,444 = 71,444/x
  3. Step 3: Cross multiply
    46,720x = 71,444 × 71,444
  4. Step 4: Simplify right side
    46,720x = 5,104,245,136
  5. Step 5: Solve for x
    x = 5,104,245,136/46,720
  6. Step 6: Final answer
    x = 109,251.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.