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Finding the Third Proportional to 4,012.03 and 8,946.07

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Solution

The third proportional to 4,012.03 and 8,946.07 is: 19,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.03 : 8,946.07 = 8,946.07 : x
  2. Step 2: Convert to fraction form
    4,012.03/8,946.07 = 8,946.07/x
  3. Step 3: Cross multiply
    4,012.03x = 8,946.07 × 8,946.07
  4. Step 4: Simplify right side
    4,012.03x = 80,032,174.04
  5. Step 5: Solve for x
    x = 80,032,174.04/4,012.03
  6. Step 6: Final answer
    x = 19,948.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.