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Finding the Third Proportional to 14,488 and 30,064

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Solution

The third proportional to 14,488 and 30,064 is: 62,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488 : 30,064 = 30,064 : x
  2. Step 2: Convert to fraction form
    14,488/30,064 = 30,064/x
  3. Step 3: Cross multiply
    14,488x = 30,064 × 30,064
  4. Step 4: Simplify right side
    14,488x = 903,844,096
  5. Step 5: Solve for x
    x = 903,844,096/14,488
  6. Step 6: Final answer
    x = 62,385.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.