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Finding the Third Proportional to 22,946 and 35,077

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Solution

The third proportional to 22,946 and 35,077 is: 53,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946 : 35,077 = 35,077 : x
  2. Step 2: Convert to fraction form
    22,946/35,077 = 35,077/x
  3. Step 3: Cross multiply
    22,946x = 35,077 × 35,077
  4. Step 4: Simplify right side
    22,946x = 1,230,395,929
  5. Step 5: Solve for x
    x = 1,230,395,929/22,946
  6. Step 6: Final answer
    x = 53,621.37

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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.