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Finding the Third Proportional to 35,683 and 54,455

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Solution

The third proportional to 35,683 and 54,455 is: 83,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,683 : 54,455 = 54,455 : x
  2. Step 2: Convert to fraction form
    35,683/54,455 = 54,455/x
  3. Step 3: Cross multiply
    35,683x = 54,455 × 54,455
  4. Step 4: Simplify right side
    35,683x = 2,965,347,025
  5. Step 5: Solve for x
    x = 2,965,347,025/35,683
  6. Step 6: Final answer
    x = 83,102.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.