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Finding the Third Proportional to 14,119 and 29,803

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Solution

The third proportional to 14,119 and 29,803 is: 62,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119 : 29,803 = 29,803 : x
  2. Step 2: Convert to fraction form
    14,119/29,803 = 29,803/x
  3. Step 3: Cross multiply
    14,119x = 29,803 × 29,803
  4. Step 4: Simplify right side
    14,119x = 888,218,809
  5. Step 5: Solve for x
    x = 888,218,809/14,119
  6. Step 6: Final answer
    x = 62,909.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.