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Finding the Third Proportional to 6,825 and 14,730

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Solution

The third proportional to 6,825 and 14,730 is: 31,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825 : 14,730 = 14,730 : x
  2. Step 2: Convert to fraction form
    6,825/14,730 = 14,730/x
  3. Step 3: Cross multiply
    6,825x = 14,730 × 14,730
  4. Step 4: Simplify right side
    6,825x = 216,972,900
  5. Step 5: Solve for x
    x = 216,972,900/6,825
  6. Step 6: Final answer
    x = 31,790.90

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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.