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Finding the Third Proportional to 25,465.50 and 51,619.50

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Solution

The third proportional to 25,465.50 and 51,619.50 is: 104,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.50 : 51,619.50 = 51,619.50 : x
  2. Step 2: Convert to fraction form
    25,465.50/51,619.50 = 51,619.50/x
  3. Step 3: Cross multiply
    25,465.50x = 51,619.50 × 51,619.50
  4. Step 4: Simplify right side
    25,465.50x = 2,664,572,780.25
  5. Step 5: Solve for x
    x = 2,664,572,780.25/25,465.50
  6. Step 6: Final answer
    x = 104,634.61

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.