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Finding the Third Proportional to 35,510 and 54,649

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Solution

The third proportional to 35,510 and 54,649 is: 84,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510 : 54,649 = 54,649 : x
  2. Step 2: Convert to fraction form
    35,510/54,649 = 54,649/x
  3. Step 3: Cross multiply
    35,510x = 54,649 × 54,649
  4. Step 4: Simplify right side
    35,510x = 2,986,513,201
  5. Step 5: Solve for x
    x = 2,986,513,201/35,510
  6. Step 6: Final answer
    x = 84,103.44

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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.