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Finding the Third Proportional to 34,722 and 74,850.75

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Solution

The third proportional to 34,722 and 74,850.75 is: 161,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,722 : 74,850.75 = 74,850.75 : x
  2. Step 2: Convert to fraction form
    34,722/74,850.75 = 74,850.75/x
  3. Step 3: Cross multiply
    34,722x = 74,850.75 × 74,850.75
  4. Step 4: Simplify right side
    34,722x = 5,602,634,775.56
  5. Step 5: Solve for x
    x = 5,602,634,775.56/34,722
  6. Step 6: Final answer
    x = 161,356.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.