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Finding the Third Proportional to 7,014 and 12,984

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Solution

The third proportional to 7,014 and 12,984 is: 24,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 12,984 = 12,984 : x
  2. Step 2: Convert to fraction form
    7,014/12,984 = 12,984/x
  3. Step 3: Cross multiply
    7,014x = 12,984 × 12,984
  4. Step 4: Simplify right side
    7,014x = 168,584,256
  5. Step 5: Solve for x
    x = 168,584,256/7,014
  6. Step 6: Final answer
    x = 24,035.39

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.