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Finding the Third Proportional to 25,431.75 and 51,555.38

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Solution

The third proportional to 25,431.75 and 51,555.38 is: 104,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,431.75 : 51,555.38 = 51,555.38 : x
  2. Step 2: Convert to fraction form
    25,431.75/51,555.38 = 51,555.38/x
  3. Step 3: Cross multiply
    25,431.75x = 51,555.38 × 51,555.38
  4. Step 4: Simplify right side
    25,431.75x = 2,657,956,691.39
  5. Step 5: Solve for x
    x = 2,657,956,691.39/25,431.75
  6. Step 6: Final answer
    x = 104,513.32

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Why These Related Problems?

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