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Finding the Third Proportional to 35,381 and 83,403

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Solution

The third proportional to 35,381 and 83,403 is: 196,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,381 : 83,403 = 83,403 : x
  2. Step 2: Convert to fraction form
    35,381/83,403 = 83,403/x
  3. Step 3: Cross multiply
    35,381x = 83,403 × 83,403
  4. Step 4: Simplify right side
    35,381x = 6,956,060,409
  5. Step 5: Solve for x
    x = 6,956,060,409/35,381
  6. Step 6: Final answer
    x = 196,604.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.