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Finding the Third Proportional to 23,322 and 35,083

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Solution

The third proportional to 23,322 and 35,083 is: 52,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322 : 35,083 = 35,083 : x
  2. Step 2: Convert to fraction form
    23,322/35,083 = 35,083/x
  3. Step 3: Cross multiply
    23,322x = 35,083 × 35,083
  4. Step 4: Simplify right side
    23,322x = 1,230,816,889
  5. Step 5: Solve for x
    x = 1,230,816,889/23,322
  6. Step 6: Final answer
    x = 52,774.93

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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.