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Finding the Third Proportional to 25,858.50 and 53,334.75

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Solution

The third proportional to 25,858.50 and 53,334.75 is: 110,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.50 : 53,334.75 = 53,334.75 : x
  2. Step 2: Convert to fraction form
    25,858.50/53,334.75 = 53,334.75/x
  3. Step 3: Cross multiply
    25,858.50x = 53,334.75 × 53,334.75
  4. Step 4: Simplify right side
    25,858.50x = 2,844,595,557.56
  5. Step 5: Solve for x
    x = 2,844,595,557.56/25,858.50
  6. Step 6: Final answer
    x = 110,006.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.