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Finding the Third Proportional to 12,454 and 19,005

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Solution

The third proportional to 12,454 and 19,005 is: 29,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454 : 19,005 = 19,005 : x
  2. Step 2: Convert to fraction form
    12,454/19,005 = 19,005/x
  3. Step 3: Cross multiply
    12,454x = 19,005 × 19,005
  4. Step 4: Simplify right side
    12,454x = 361,190,025
  5. Step 5: Solve for x
    x = 361,190,025/12,454
  6. Step 6: Final answer
    x = 29,001.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.