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Finding the Third Proportional to 35,043 and 54,407

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Solution

The third proportional to 35,043 and 54,407 is: 84,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,043 : 54,407 = 54,407 : x
  2. Step 2: Convert to fraction form
    35,043/54,407 = 54,407/x
  3. Step 3: Cross multiply
    35,043x = 54,407 × 54,407
  4. Step 4: Simplify right side
    35,043x = 2,960,121,649
  5. Step 5: Solve for x
    x = 2,960,121,649/35,043
  6. Step 6: Final answer
    x = 84,471.13

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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.