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Finding the Third Proportional to 18,113 and 27,284

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Solution

The third proportional to 18,113 and 27,284 is: 41,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,113 : 27,284 = 27,284 : x
  2. Step 2: Convert to fraction form
    18,113/27,284 = 27,284/x
  3. Step 3: Cross multiply
    18,113x = 27,284 × 27,284
  4. Step 4: Simplify right side
    18,113x = 744,416,656
  5. Step 5: Solve for x
    x = 744,416,656/18,113
  6. Step 6: Final answer
    x = 41,098.47

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