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Finding the Third Proportional to 37,014 and 58,000

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Solution

The third proportional to 37,014 and 58,000 is: 90,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,014 : 58,000 = 58,000 : x
  2. Step 2: Convert to fraction form
    37,014/58,000 = 58,000/x
  3. Step 3: Cross multiply
    37,014x = 58,000 × 58,000
  4. Step 4: Simplify right side
    37,014x = 3,364,000,000
  5. Step 5: Solve for x
    x = 3,364,000,000/37,014
  6. Step 6: Final answer
    x = 90,884.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.