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Finding the Third Proportional to 37,241 and 59,255.50

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Solution

The third proportional to 37,241 and 59,255.50 is: 94,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,241 : 59,255.50 = 59,255.50 : x
  2. Step 2: Convert to fraction form
    37,241/59,255.50 = 59,255.50/x
  3. Step 3: Cross multiply
    37,241x = 59,255.50 × 59,255.50
  4. Step 4: Simplify right side
    37,241x = 3,511,214,280.25
  5. Step 5: Solve for x
    x = 3,511,214,280.25/37,241
  6. Step 6: Final answer
    x = 94,283.57

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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.