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Finding the Third Proportional to 6,823.50 and 16,830

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Solution

The third proportional to 6,823.50 and 16,830 is: 41,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.50 : 16,830 = 16,830 : x
  2. Step 2: Convert to fraction form
    6,823.50/16,830 = 16,830/x
  3. Step 3: Cross multiply
    6,823.50x = 16,830 × 16,830
  4. Step 4: Simplify right side
    6,823.50x = 283,248,900
  5. Step 5: Solve for x
    x = 283,248,900/6,823.50
  6. Step 6: Final answer
    x = 41,510.79

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.