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Finding the Third Proportional to 9,024.38 and 13,946.44

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Solution

The third proportional to 9,024.38 and 13,946.44 is: 21,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.38 : 13,946.44 = 13,946.44 : x
  2. Step 2: Convert to fraction form
    9,024.38/13,946.44 = 13,946.44/x
  3. Step 3: Cross multiply
    9,024.38x = 13,946.44 × 13,946.44
  4. Step 4: Simplify right side
    9,024.38x = 194,503,118.94
  5. Step 5: Solve for x
    x = 194,503,118.94/9,024.38
  6. Step 6: Final answer
    x = 21,553.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.