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Finding the Third Proportional to 37,189.13 and 57,423.94

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Solution

The third proportional to 37,189.13 and 57,423.94 is: 88,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,189.13 : 57,423.94 = 57,423.94 : x
  2. Step 2: Convert to fraction form
    37,189.13/57,423.94 = 57,423.94/x
  3. Step 3: Cross multiply
    37,189.13x = 57,423.94 × 57,423.94
  4. Step 4: Simplify right side
    37,189.13x = 3,297,508,598.00
  5. Step 5: Solve for x
    x = 3,297,508,598.00/37,189.13
  6. Step 6: Final answer
    x = 88,668.63

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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.