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Finding the Third Proportional to 34,038.75 and 50,853.09

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Solution

The third proportional to 34,038.75 and 50,853.09 is: 75,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038.75 : 50,853.09 = 50,853.09 : x
  2. Step 2: Convert to fraction form
    34,038.75/50,853.09 = 50,853.09/x
  3. Step 3: Cross multiply
    34,038.75x = 50,853.09 × 50,853.09
  4. Step 4: Simplify right side
    34,038.75x = 2,586,037,143.95
  5. Step 5: Solve for x
    x = 2,586,037,143.95/34,038.75
  6. Step 6: Final answer
    x = 75,973.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.