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Finding the Third Proportional to 35,039 and 54,403

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Solution

The third proportional to 35,039 and 54,403 is: 84,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,039 : 54,403 = 54,403 : x
  2. Step 2: Convert to fraction form
    35,039/54,403 = 54,403/x
  3. Step 3: Cross multiply
    35,039x = 54,403 × 54,403
  4. Step 4: Simplify right side
    35,039x = 2,959,686,409
  5. Step 5: Solve for x
    x = 2,959,686,409/35,039
  6. Step 6: Final answer
    x = 84,468.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.