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Finding the Third Proportional to 35,001 and 82,274.06

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Solution

The third proportional to 35,001 and 82,274.06 is: 193,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,001 : 82,274.06 = 82,274.06 : x
  2. Step 2: Convert to fraction form
    35,001/82,274.06 = 82,274.06/x
  3. Step 3: Cross multiply
    35,001x = 82,274.06 × 82,274.06
  4. Step 4: Simplify right side
    35,001x = 6,769,021,360.25
  5. Step 5: Solve for x
    x = 6,769,021,360.25/35,001
  6. Step 6: Final answer
    x = 193,395.08

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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.