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Finding the Third Proportional to 13,851.75 and 18,833.63

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Solution

The third proportional to 13,851.75 and 18,833.63 is: 25,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.75 : 18,833.63 = 18,833.63 : x
  2. Step 2: Convert to fraction form
    13,851.75/18,833.63 = 18,833.63/x
  3. Step 3: Cross multiply
    13,851.75x = 18,833.63 × 18,833.63
  4. Step 4: Simplify right side
    13,851.75x = 354,705,430.64
  5. Step 5: Solve for x
    x = 354,705,430.64/13,851.75
  6. Step 6: Final answer
    x = 25,607.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.