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Finding the Third Proportional to 49,503 and 74,010

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Solution

The third proportional to 49,503 and 74,010 is: 110,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,503 : 74,010 = 74,010 : x
  2. Step 2: Convert to fraction form
    49,503/74,010 = 74,010/x
  3. Step 3: Cross multiply
    49,503x = 74,010 × 74,010
  4. Step 4: Simplify right side
    49,503x = 5,477,480,100
  5. Step 5: Solve for x
    x = 5,477,480,100/49,503
  6. Step 6: Final answer
    x = 110,649.46

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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.