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Finding the Third Proportional to 34,455 and 53,181

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Solution

The third proportional to 34,455 and 53,181 is: 82,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,455 : 53,181 = 53,181 : x
  2. Step 2: Convert to fraction form
    34,455/53,181 = 53,181/x
  3. Step 3: Cross multiply
    34,455x = 53,181 × 53,181
  4. Step 4: Simplify right side
    34,455x = 2,828,218,761
  5. Step 5: Solve for x
    x = 2,828,218,761/34,455
  6. Step 6: Final answer
    x = 82,084.42

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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.