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Finding the Third Proportional to 22,965 and 35,106

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Solution

The third proportional to 22,965 and 35,106 is: 53,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965 : 35,106 = 35,106 : x
  2. Step 2: Convert to fraction form
    22,965/35,106 = 35,106/x
  3. Step 3: Cross multiply
    22,965x = 35,106 × 35,106
  4. Step 4: Simplify right side
    22,965x = 1,232,431,236
  5. Step 5: Solve for x
    x = 1,232,431,236/22,965
  6. Step 6: Final answer
    x = 53,665.63

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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.