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Finding the Third Proportional to 37,573.50 and 58,000.50

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Solution

The third proportional to 37,573.50 and 58,000.50 is: 89,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573.50 : 58,000.50 = 58,000.50 : x
  2. Step 2: Convert to fraction form
    37,573.50/58,000.50 = 58,000.50/x
  3. Step 3: Cross multiply
    37,573.50x = 58,000.50 × 58,000.50
  4. Step 4: Simplify right side
    37,573.50x = 3,364,058,000.25
  5. Step 5: Solve for x
    x = 3,364,058,000.25/37,573.50
  6. Step 6: Final answer
    x = 89,532.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.