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Finding the Third Proportional to 6,984 and 10,230

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Solution

The third proportional to 6,984 and 10,230 is: 14,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 10,230 = 10,230 : x
  2. Step 2: Convert to fraction form
    6,984/10,230 = 10,230/x
  3. Step 3: Cross multiply
    6,984x = 10,230 × 10,230
  4. Step 4: Simplify right side
    6,984x = 104,652,900
  5. Step 5: Solve for x
    x = 104,652,900/6,984
  6. Step 6: Final answer
    x = 14,984.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.