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Finding the Third Proportional to 12,127 and 19,284

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Solution

The third proportional to 12,127 and 19,284 is: 30,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127 : 19,284 = 19,284 : x
  2. Step 2: Convert to fraction form
    12,127/19,284 = 19,284/x
  3. Step 3: Cross multiply
    12,127x = 19,284 × 19,284
  4. Step 4: Simplify right side
    12,127x = 371,872,656
  5. Step 5: Solve for x
    x = 371,872,656/12,127
  6. Step 6: Final answer
    x = 30,664.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.