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Finding the Third Proportional to 9,954.56 and 14,520.94

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Solution

The third proportional to 9,954.56 and 14,520.94 is: 21,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.56 : 14,520.94 = 14,520.94 : x
  2. Step 2: Convert to fraction form
    9,954.56/14,520.94 = 14,520.94/x
  3. Step 3: Cross multiply
    9,954.56x = 14,520.94 × 14,520.94
  4. Step 4: Simplify right side
    9,954.56x = 210,857,625.88
  5. Step 5: Solve for x
    x = 210,857,625.88/9,954.56
  6. Step 6: Final answer
    x = 21,182.01

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Why These Related Problems?

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