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Finding the Third Proportional to 8,038.93 and 17,812.09

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Solution

The third proportional to 8,038.93 and 17,812.09 is: 39,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.93 : 17,812.09 = 17,812.09 : x
  2. Step 2: Convert to fraction form
    8,038.93/17,812.09 = 17,812.09/x
  3. Step 3: Cross multiply
    8,038.93x = 17,812.09 × 17,812.09
  4. Step 4: Simplify right side
    8,038.93x = 317,270,544.60
  5. Step 5: Solve for x
    x = 317,270,544.60/8,038.93
  6. Step 6: Final answer
    x = 39,466.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.