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Finding the Third Proportional to 14,454 and 30,003

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Solution

The third proportional to 14,454 and 30,003 is: 62,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454 : 30,003 = 30,003 : x
  2. Step 2: Convert to fraction form
    14,454/30,003 = 30,003/x
  3. Step 3: Cross multiply
    14,454x = 30,003 × 30,003
  4. Step 4: Simplify right side
    14,454x = 900,180,009
  5. Step 5: Solve for x
    x = 900,180,009/14,454
  6. Step 6: Final answer
    x = 62,278.95

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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.