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Finding the Third Proportional to 25,094.25 and 51,828.75

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Solution

The third proportional to 25,094.25 and 51,828.75 is: 107,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094.25 : 51,828.75 = 51,828.75 : x
  2. Step 2: Convert to fraction form
    25,094.25/51,828.75 = 51,828.75/x
  3. Step 3: Cross multiply
    25,094.25x = 51,828.75 × 51,828.75
  4. Step 4: Simplify right side
    25,094.25x = 2,686,219,326.56
  5. Step 5: Solve for x
    x = 2,686,219,326.56/25,094.25
  6. Step 6: Final answer
    x = 107,045.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.