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Finding the Third Proportional to 37,297.50 and 58,214.25

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Solution

The third proportional to 37,297.50 and 58,214.25 is: 90,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,297.50 : 58,214.25 = 58,214.25 : x
  2. Step 2: Convert to fraction form
    37,297.50/58,214.25 = 58,214.25/x
  3. Step 3: Cross multiply
    37,297.50x = 58,214.25 × 58,214.25
  4. Step 4: Simplify right side
    37,297.50x = 3,388,898,903.06
  5. Step 5: Solve for x
    x = 3,388,898,903.06/37,297.50
  6. Step 6: Final answer
    x = 90,861.29

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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.