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Finding the Third Proportional to 9,352.41 and 13,679.72

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Solution

The third proportional to 9,352.41 and 13,679.72 is: 20,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.41 : 13,679.72 = 13,679.72 : x
  2. Step 2: Convert to fraction form
    9,352.41/13,679.72 = 13,679.72/x
  3. Step 3: Cross multiply
    9,352.41x = 13,679.72 × 13,679.72
  4. Step 4: Simplify right side
    9,352.41x = 187,134,705.08
  5. Step 5: Solve for x
    x = 187,134,705.08/9,352.41
  6. Step 6: Final answer
    x = 20,009.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.