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Finding the Third Proportional to 4,160.43 and 8,893.23

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Solution

The third proportional to 4,160.43 and 8,893.23 is: 19,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.43 : 8,893.23 = 8,893.23 : x
  2. Step 2: Convert to fraction form
    4,160.43/8,893.23 = 8,893.23/x
  3. Step 3: Cross multiply
    4,160.43x = 8,893.23 × 8,893.23
  4. Step 4: Simplify right side
    4,160.43x = 79,089,548.17
  5. Step 5: Solve for x
    x = 79,089,548.17/4,160.43
  6. Step 6: Final answer
    x = 19,009.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.