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Finding the Third Proportional to 8,051.63 and 17,706.38

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Solution

The third proportional to 8,051.63 and 17,706.38 is: 38,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.63 : 17,706.38 = 17,706.38 : x
  2. Step 2: Convert to fraction form
    8,051.63/17,706.38 = 17,706.38/x
  3. Step 3: Cross multiply
    8,051.63x = 17,706.38 × 17,706.38
  4. Step 4: Simplify right side
    8,051.63x = 313,515,715.64
  5. Step 5: Solve for x
    x = 313,515,715.64/8,051.63
  6. Step 6: Final answer
    x = 38,938.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.