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Finding the Third Proportional to 25,458.75 and 54,819

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Solution

The third proportional to 25,458.75 and 54,819 is: 118,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,458.75 : 54,819 = 54,819 : x
  2. Step 2: Convert to fraction form
    25,458.75/54,819 = 54,819/x
  3. Step 3: Cross multiply
    25,458.75x = 54,819 × 54,819
  4. Step 4: Simplify right side
    25,458.75x = 3,005,122,761
  5. Step 5: Solve for x
    x = 3,005,122,761/25,458.75
  6. Step 6: Final answer
    x = 118,038.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.