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Finding the Third Proportional to 34,350.75 and 54,642.94

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Solution

The third proportional to 34,350.75 and 54,642.94 is: 86,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,350.75 : 54,642.94 = 54,642.94 : x
  2. Step 2: Convert to fraction form
    34,350.75/54,642.94 = 54,642.94/x
  3. Step 3: Cross multiply
    34,350.75x = 54,642.94 × 54,642.94
  4. Step 4: Simplify right side
    34,350.75x = 2,985,850,618.63
  5. Step 5: Solve for x
    x = 2,985,850,618.63/34,350.75
  6. Step 6: Final answer
    x = 86,922.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.