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Finding the Third Proportional to 35,264 and 38,954

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Solution

The third proportional to 35,264 and 38,954 is: 43,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,264 : 38,954 = 38,954 : x
  2. Step 2: Convert to fraction form
    35,264/38,954 = 38,954/x
  3. Step 3: Cross multiply
    35,264x = 38,954 × 38,954
  4. Step 4: Simplify right side
    35,264x = 1,517,414,116
  5. Step 5: Solve for x
    x = 1,517,414,116/35,264
  6. Step 6: Final answer
    x = 43,030.12

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.