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Finding the Third Proportional to 16,584 and 36,318

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Solution

The third proportional to 16,584 and 36,318 is: 79,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584 : 36,318 = 36,318 : x
  2. Step 2: Convert to fraction form
    16,584/36,318 = 36,318/x
  3. Step 3: Cross multiply
    16,584x = 36,318 × 36,318
  4. Step 4: Simplify right side
    16,584x = 1,318,997,124
  5. Step 5: Solve for x
    x = 1,318,997,124/16,584
  6. Step 6: Final answer
    x = 79,534.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.