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Finding the Third Proportional to 23,748.19 and 37,604.25

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Solution

The third proportional to 23,748.19 and 37,604.25 is: 59,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748.19 : 37,604.25 = 37,604.25 : x
  2. Step 2: Convert to fraction form
    23,748.19/37,604.25 = 37,604.25/x
  3. Step 3: Cross multiply
    23,748.19x = 37,604.25 × 37,604.25
  4. Step 4: Simplify right side
    23,748.19x = 1,414,079,618.06
  5. Step 5: Solve for x
    x = 1,414,079,618.06/23,748.19
  6. Step 6: Final answer
    x = 59,544.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.