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Finding the Third Proportional to 4,097 and 9,623

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Solution

The third proportional to 4,097 and 9,623 is: 22,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097 : 9,623 = 9,623 : x
  2. Step 2: Convert to fraction form
    4,097/9,623 = 9,623/x
  3. Step 3: Cross multiply
    4,097x = 9,623 × 9,623
  4. Step 4: Simplify right side
    4,097x = 92,602,129
  5. Step 5: Solve for x
    x = 92,602,129/4,097
  6. Step 6: Final answer
    x = 22,602.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.