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Finding the Third Proportional to 25,904.75 and 30,635.75

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Solution

The third proportional to 25,904.75 and 30,635.75 is: 36,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,904.75 : 30,635.75 = 30,635.75 : x
  2. Step 2: Convert to fraction form
    25,904.75/30,635.75 = 30,635.75/x
  3. Step 3: Cross multiply
    25,904.75x = 30,635.75 × 30,635.75
  4. Step 4: Simplify right side
    25,904.75x = 938,549,178.06
  5. Step 5: Solve for x
    x = 938,549,178.06/25,904.75
  6. Step 6: Final answer
    x = 36,230.78

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.