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Finding the Third Proportional to 14,011 and 30,355

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Solution

The third proportional to 14,011 and 30,355 is: 65,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011 : 30,355 = 30,355 : x
  2. Step 2: Convert to fraction form
    14,011/30,355 = 30,355/x
  3. Step 3: Cross multiply
    14,011x = 30,355 × 30,355
  4. Step 4: Simplify right side
    14,011x = 921,426,025
  5. Step 5: Solve for x
    x = 921,426,025/14,011
  6. Step 6: Final answer
    x = 65,764.47

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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.