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Finding the Third Proportional to 12,774 and 19,284

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Solution

The third proportional to 12,774 and 19,284 is: 29,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774 : 19,284 = 19,284 : x
  2. Step 2: Convert to fraction form
    12,774/19,284 = 19,284/x
  3. Step 3: Cross multiply
    12,774x = 19,284 × 19,284
  4. Step 4: Simplify right side
    12,774x = 371,872,656
  5. Step 5: Solve for x
    x = 371,872,656/12,774
  6. Step 6: Final answer
    x = 29,111.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.