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Finding the Third Proportional to 13,154 and 27,278

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Solution

The third proportional to 13,154 and 27,278 is: 56,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154 : 27,278 = 27,278 : x
  2. Step 2: Convert to fraction form
    13,154/27,278 = 27,278/x
  3. Step 3: Cross multiply
    13,154x = 27,278 × 27,278
  4. Step 4: Simplify right side
    13,154x = 744,089,284
  5. Step 5: Solve for x
    x = 744,089,284/13,154
  6. Step 6: Final answer
    x = 56,567.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.