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Finding the Third Proportional to 16,937 and 36,890

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Solution

The third proportional to 16,937 and 36,890 is: 80,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,937 : 36,890 = 36,890 : x
  2. Step 2: Convert to fraction form
    16,937/36,890 = 36,890/x
  3. Step 3: Cross multiply
    16,937x = 36,890 × 36,890
  4. Step 4: Simplify right side
    16,937x = 1,360,872,100
  5. Step 5: Solve for x
    x = 1,360,872,100/16,937
  6. Step 6: Final answer
    x = 80,349.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.