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Finding the Third Proportional to 16,700 and 38,830

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Solution

The third proportional to 16,700 and 38,830 is: 90,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700 : 38,830 = 38,830 : x
  2. Step 2: Convert to fraction form
    16,700/38,830 = 38,830/x
  3. Step 3: Cross multiply
    16,700x = 38,830 × 38,830
  4. Step 4: Simplify right side
    16,700x = 1,507,768,900
  5. Step 5: Solve for x
    x = 1,507,768,900/16,700
  6. Step 6: Final answer
    x = 90,285.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.