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Finding the Third Proportional to 13,094 and 19,454

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Solution

The third proportional to 13,094 and 19,454 is: 28,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094 : 19,454 = 19,454 : x
  2. Step 2: Convert to fraction form
    13,094/19,454 = 19,454/x
  3. Step 3: Cross multiply
    13,094x = 19,454 × 19,454
  4. Step 4: Simplify right side
    13,094x = 378,458,116
  5. Step 5: Solve for x
    x = 378,458,116/13,094
  6. Step 6: Final answer
    x = 28,903.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.