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Finding the Third Proportional to 16,386 and 35,203

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Solution

The third proportional to 16,386 and 35,203 is: 75,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386 : 35,203 = 35,203 : x
  2. Step 2: Convert to fraction form
    16,386/35,203 = 35,203/x
  3. Step 3: Cross multiply
    16,386x = 35,203 × 35,203
  4. Step 4: Simplify right side
    16,386x = 1,239,251,209
  5. Step 5: Solve for x
    x = 1,239,251,209/16,386
  6. Step 6: Final answer
    x = 75,628.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.