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Finding the Third Proportional to 23,235 and 35,069

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Solution

The third proportional to 23,235 and 35,069 is: 52,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235 : 35,069 = 35,069 : x
  2. Step 2: Convert to fraction form
    23,235/35,069 = 35,069/x
  3. Step 3: Cross multiply
    23,235x = 35,069 × 35,069
  4. Step 4: Simplify right side
    23,235x = 1,229,834,761
  5. Step 5: Solve for x
    x = 1,229,834,761/23,235
  6. Step 6: Final answer
    x = 52,930.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.