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Finding the Third Proportional to 5,851 and 13,091

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Solution

The third proportional to 5,851 and 13,091 is: 29,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851 : 13,091 = 13,091 : x
  2. Step 2: Convert to fraction form
    5,851/13,091 = 13,091/x
  3. Step 3: Cross multiply
    5,851x = 13,091 × 13,091
  4. Step 4: Simplify right side
    5,851x = 171,374,281
  5. Step 5: Solve for x
    x = 171,374,281/5,851
  6. Step 6: Final answer
    x = 29,289.74

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.