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Finding the Third Proportional to 25,634.25 and 34,485.75

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Solution

The third proportional to 25,634.25 and 34,485.75 is: 46,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,634.25 : 34,485.75 = 34,485.75 : x
  2. Step 2: Convert to fraction form
    25,634.25/34,485.75 = 34,485.75/x
  3. Step 3: Cross multiply
    25,634.25x = 34,485.75 × 34,485.75
  4. Step 4: Simplify right side
    25,634.25x = 1,189,266,953.06
  5. Step 5: Solve for x
    x = 1,189,266,953.06/25,634.25
  6. Step 6: Final answer
    x = 46,393.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.