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Finding the Third Proportional to 9,894.66 and 14,223.09

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Solution

The third proportional to 9,894.66 and 14,223.09 is: 20,445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.66 : 14,223.09 = 14,223.09 : x
  2. Step 2: Convert to fraction form
    9,894.66/14,223.09 = 14,223.09/x
  3. Step 3: Cross multiply
    9,894.66x = 14,223.09 × 14,223.09
  4. Step 4: Simplify right side
    9,894.66x = 202,296,395.82
  5. Step 5: Solve for x
    x = 202,296,395.82/9,894.66
  6. Step 6: Final answer
    x = 20,445.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.