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Finding the Third Proportional to 19,993 and 46,289

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Solution

The third proportional to 19,993 and 46,289 is: 107,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993 : 46,289 = 46,289 : x
  2. Step 2: Convert to fraction form
    19,993/46,289 = 46,289/x
  3. Step 3: Cross multiply
    19,993x = 46,289 × 46,289
  4. Step 4: Simplify right side
    19,993x = 2,142,671,521
  5. Step 5: Solve for x
    x = 2,142,671,521/19,993
  6. Step 6: Final answer
    x = 107,171.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.