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Finding the Third Proportional to 14,013 and 30,213

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Solution

The third proportional to 14,013 and 30,213 is: 65,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013 : 30,213 = 30,213 : x
  2. Step 2: Convert to fraction form
    14,013/30,213 = 30,213/x
  3. Step 3: Cross multiply
    14,013x = 30,213 × 30,213
  4. Step 4: Simplify right side
    14,013x = 912,825,369
  5. Step 5: Solve for x
    x = 912,825,369/14,013
  6. Step 6: Final answer
    x = 65,141.32

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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.