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Finding the Third Proportional to 16,784 and 36,176

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Solution

The third proportional to 16,784 and 36,176 is: 77,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784 : 36,176 = 36,176 : x
  2. Step 2: Convert to fraction form
    16,784/36,176 = 36,176/x
  3. Step 3: Cross multiply
    16,784x = 36,176 × 36,176
  4. Step 4: Simplify right side
    16,784x = 1,308,702,976
  5. Step 5: Solve for x
    x = 1,308,702,976/16,784
  6. Step 6: Final answer
    x = 77,973.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.