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Finding the Third Proportional to 9,509.44 and 14,265.94

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Solution

The third proportional to 9,509.44 and 14,265.94 is: 21,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.44 : 14,265.94 = 14,265.94 : x
  2. Step 2: Convert to fraction form
    9,509.44/14,265.94 = 14,265.94/x
  3. Step 3: Cross multiply
    9,509.44x = 14,265.94 × 14,265.94
  4. Step 4: Simplify right side
    9,509.44x = 203,516,972.75
  5. Step 5: Solve for x
    x = 203,516,972.75/9,509.44
  6. Step 6: Final answer
    x = 21,401.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.