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Finding the Third Proportional to 35,862 and 55,305

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Solution

The third proportional to 35,862 and 55,305 is: 85,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862 : 55,305 = 55,305 : x
  2. Step 2: Convert to fraction form
    35,862/55,305 = 55,305/x
  3. Step 3: Cross multiply
    35,862x = 55,305 × 55,305
  4. Step 4: Simplify right side
    35,862x = 3,058,643,025
  5. Step 5: Solve for x
    x = 3,058,643,025/35,862
  6. Step 6: Final answer
    x = 85,289.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.