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Finding the Third Proportional to 38,097 and 83,577

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Solution

The third proportional to 38,097 and 83,577 is: 183,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097 : 83,577 = 83,577 : x
  2. Step 2: Convert to fraction form
    38,097/83,577 = 83,577/x
  3. Step 3: Cross multiply
    38,097x = 83,577 × 83,577
  4. Step 4: Simplify right side
    38,097x = 6,985,114,929
  5. Step 5: Solve for x
    x = 6,985,114,929/38,097
  6. Step 6: Final answer
    x = 183,350.79

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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.