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Finding the Third Proportional to 13,835 and 30,019

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Solution

The third proportional to 13,835 and 30,019 is: 65,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835 : 30,019 = 30,019 : x
  2. Step 2: Convert to fraction form
    13,835/30,019 = 30,019/x
  3. Step 3: Cross multiply
    13,835x = 30,019 × 30,019
  4. Step 4: Simplify right side
    13,835x = 901,140,361
  5. Step 5: Solve for x
    x = 901,140,361/13,835
  6. Step 6: Final answer
    x = 65,134.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.