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Finding the Third Proportional to 49,620 and 74,543

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Solution

The third proportional to 49,620 and 74,543 is: 111,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,620 : 74,543 = 74,543 : x
  2. Step 2: Convert to fraction form
    49,620/74,543 = 74,543/x
  3. Step 3: Cross multiply
    49,620x = 74,543 × 74,543
  4. Step 4: Simplify right side
    49,620x = 5,556,658,849
  5. Step 5: Solve for x
    x = 5,556,658,849/49,620
  6. Step 6: Final answer
    x = 111,984.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.