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Finding the Third Proportional to 6,420.04 and 14,008.33

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Solution

The third proportional to 6,420.04 and 14,008.33 is: 30,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.04 : 14,008.33 = 14,008.33 : x
  2. Step 2: Convert to fraction form
    6,420.04/14,008.33 = 14,008.33/x
  3. Step 3: Cross multiply
    6,420.04x = 14,008.33 × 14,008.33
  4. Step 4: Simplify right side
    6,420.04x = 196,233,393.66
  5. Step 5: Solve for x
    x = 196,233,393.66/6,420.04
  6. Step 6: Final answer
    x = 30,565.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.