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Finding the Third Proportional to 9,468.56 and 14,855.06

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Solution

The third proportional to 9,468.56 and 14,855.06 is: 23,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.56 : 14,855.06 = 14,855.06 : x
  2. Step 2: Convert to fraction form
    9,468.56/14,855.06 = 14,855.06/x
  3. Step 3: Cross multiply
    9,468.56x = 14,855.06 × 14,855.06
  4. Step 4: Simplify right side
    9,468.56x = 220,672,881.88
  5. Step 5: Solve for x
    x = 220,672,881.88/9,468.56
  6. Step 6: Final answer
    x = 23,305.85

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.