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Finding the Third Proportional to 10,416 and 14,000

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Solution

The third proportional to 10,416 and 14,000 is: 18,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416 : 14,000 = 14,000 : x
  2. Step 2: Convert to fraction form
    10,416/14,000 = 14,000/x
  3. Step 3: Cross multiply
    10,416x = 14,000 × 14,000
  4. Step 4: Simplify right side
    10,416x = 196,000,000
  5. Step 5: Solve for x
    x = 196,000,000/10,416
  6. Step 6: Final answer
    x = 18,817.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.