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Finding the Third Proportional to 35,741.25 and 83,097

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Solution

The third proportional to 35,741.25 and 83,097 is: 193,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741.25 : 83,097 = 83,097 : x
  2. Step 2: Convert to fraction form
    35,741.25/83,097 = 83,097/x
  3. Step 3: Cross multiply
    35,741.25x = 83,097 × 83,097
  4. Step 4: Simplify right side
    35,741.25x = 6,905,111,409
  5. Step 5: Solve for x
    x = 6,905,111,409/35,741.25
  6. Step 6: Final answer
    x = 193,197.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.