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Finding the Third Proportional to 6,415.03 and 13,851.84

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Solution

The third proportional to 6,415.03 and 13,851.84 is: 29,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.03 : 13,851.84 = 13,851.84 : x
  2. Step 2: Convert to fraction form
    6,415.03/13,851.84 = 13,851.84/x
  3. Step 3: Cross multiply
    6,415.03x = 13,851.84 × 13,851.84
  4. Step 4: Simplify right side
    6,415.03x = 191,873,575.27
  5. Step 5: Solve for x
    x = 191,873,575.27/6,415.03
  6. Step 6: Final answer
    x = 29,910.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.