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Finding the Third Proportional to 35,029 and 75,890

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Solution

The third proportional to 35,029 and 75,890 is: 164,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,029 : 75,890 = 75,890 : x
  2. Step 2: Convert to fraction form
    35,029/75,890 = 75,890/x
  3. Step 3: Cross multiply
    35,029x = 75,890 × 75,890
  4. Step 4: Simplify right side
    35,029x = 5,759,292,100
  5. Step 5: Solve for x
    x = 5,759,292,100/35,029
  6. Step 6: Final answer
    x = 164,414.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.