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Finding the Third Proportional to 13,656 and 19,340

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Solution

The third proportional to 13,656 and 19,340 is: 27,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656 : 19,340 = 19,340 : x
  2. Step 2: Convert to fraction form
    13,656/19,340 = 19,340/x
  3. Step 3: Cross multiply
    13,656x = 19,340 × 19,340
  4. Step 4: Simplify right side
    13,656x = 374,035,600
  5. Step 5: Solve for x
    x = 374,035,600/13,656
  6. Step 6: Final answer
    x = 27,389.84

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.