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Finding the Third Proportional to 23,394 and 35,956

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Solution

The third proportional to 23,394 and 35,956 is: 55,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,394 : 35,956 = 35,956 : x
  2. Step 2: Convert to fraction form
    23,394/35,956 = 35,956/x
  3. Step 3: Cross multiply
    23,394x = 35,956 × 35,956
  4. Step 4: Simplify right side
    23,394x = 1,292,833,936
  5. Step 5: Solve for x
    x = 1,292,833,936/23,394
  6. Step 6: Final answer
    x = 55,263.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.