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Finding the Third Proportional to 19,546 and 46,094

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Solution

The third proportional to 19,546 and 46,094 is: 108,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546 : 46,094 = 46,094 : x
  2. Step 2: Convert to fraction form
    19,546/46,094 = 46,094/x
  3. Step 3: Cross multiply
    19,546x = 46,094 × 46,094
  4. Step 4: Simplify right side
    19,546x = 2,124,656,836
  5. Step 5: Solve for x
    x = 2,124,656,836/19,546
  6. Step 6: Final answer
    x = 108,700.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.