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Finding the Third Proportional to 4,017.30 and 8,813.18

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Solution

The third proportional to 4,017.30 and 8,813.18 is: 19,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.30 : 8,813.18 = 8,813.18 : x
  2. Step 2: Convert to fraction form
    4,017.30/8,813.18 = 8,813.18/x
  3. Step 3: Cross multiply
    4,017.30x = 8,813.18 × 8,813.18
  4. Step 4: Simplify right side
    4,017.30x = 77,672,136.20
  5. Step 5: Solve for x
    x = 77,672,136.20/4,017.30
  6. Step 6: Final answer
    x = 19,334.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.