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Finding the Third Proportional to 25,164 and 51,948

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Solution

The third proportional to 25,164 and 51,948 is: 107,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,164 : 51,948 = 51,948 : x
  2. Step 2: Convert to fraction form
    25,164/51,948 = 51,948/x
  3. Step 3: Cross multiply
    25,164x = 51,948 × 51,948
  4. Step 4: Simplify right side
    25,164x = 2,698,594,704
  5. Step 5: Solve for x
    x = 2,698,594,704/25,164
  6. Step 6: Final answer
    x = 107,240.29

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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.