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Finding the Third Proportional to 37,573 and 58,603.50

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Solution

The third proportional to 37,573 and 58,603.50 is: 91,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573 : 58,603.50 = 58,603.50 : x
  2. Step 2: Convert to fraction form
    37,573/58,603.50 = 58,603.50/x
  3. Step 3: Cross multiply
    37,573x = 58,603.50 × 58,603.50
  4. Step 4: Simplify right side
    37,573x = 3,434,370,212.25
  5. Step 5: Solve for x
    x = 3,434,370,212.25/37,573
  6. Step 6: Final answer
    x = 91,405.27

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.