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Finding the Third Proportional to 7,971.75 and 17,477.44

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Solution

The third proportional to 7,971.75 and 17,477.44 is: 38,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.75 : 17,477.44 = 17,477.44 : x
  2. Step 2: Convert to fraction form
    7,971.75/17,477.44 = 17,477.44/x
  3. Step 3: Cross multiply
    7,971.75x = 17,477.44 × 17,477.44
  4. Step 4: Simplify right side
    7,971.75x = 305,460,821.57
  5. Step 5: Solve for x
    x = 305,460,821.57/7,971.75
  6. Step 6: Final answer
    x = 38,317.91

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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.