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Finding the Third Proportional to 9,946.55 and 20,922.05

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Solution

The third proportional to 9,946.55 and 20,922.05 is: 44,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.55 : 20,922.05 = 20,922.05 : x
  2. Step 2: Convert to fraction form
    9,946.55/20,922.05 = 20,922.05/x
  3. Step 3: Cross multiply
    9,946.55x = 20,922.05 × 20,922.05
  4. Step 4: Simplify right side
    9,946.55x = 437,732,045.44
  5. Step 5: Solve for x
    x = 437,732,045.44/9,946.55
  6. Step 6: Final answer
    x = 44,008.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.