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Finding the Third Proportional to 16,359 and 36,101

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Solution

The third proportional to 16,359 and 36,101 is: 79,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,359 : 36,101 = 36,101 : x
  2. Step 2: Convert to fraction form
    16,359/36,101 = 36,101/x
  3. Step 3: Cross multiply
    16,359x = 36,101 × 36,101
  4. Step 4: Simplify right side
    16,359x = 1,303,282,201
  5. Step 5: Solve for x
    x = 1,303,282,201/16,359
  6. Step 6: Final answer
    x = 79,667.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.