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Finding the Third Proportional to 6,825 and 14,970

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Solution

The third proportional to 6,825 and 14,970 is: 32,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825 : 14,970 = 14,970 : x
  2. Step 2: Convert to fraction form
    6,825/14,970 = 14,970/x
  3. Step 3: Cross multiply
    6,825x = 14,970 × 14,970
  4. Step 4: Simplify right side
    6,825x = 224,100,900
  5. Step 5: Solve for x
    x = 224,100,900/6,825
  6. Step 6: Final answer
    x = 32,835.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.