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Finding the Third Proportional to 25,689.75 and 37,704

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Solution

The third proportional to 25,689.75 and 37,704 is: 55,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.75 : 37,704 = 37,704 : x
  2. Step 2: Convert to fraction form
    25,689.75/37,704 = 37,704/x
  3. Step 3: Cross multiply
    25,689.75x = 37,704 × 37,704
  4. Step 4: Simplify right side
    25,689.75x = 1,421,591,616
  5. Step 5: Solve for x
    x = 1,421,591,616/25,689.75
  6. Step 6: Final answer
    x = 55,336.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.