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Finding the Third Proportional to 25,825 and 54,748

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Solution

The third proportional to 25,825 and 54,748 is: 116,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825 : 54,748 = 54,748 : x
  2. Step 2: Convert to fraction form
    25,825/54,748 = 54,748/x
  3. Step 3: Cross multiply
    25,825x = 54,748 × 54,748
  4. Step 4: Simplify right side
    25,825x = 2,997,343,504
  5. Step 5: Solve for x
    x = 2,997,343,504/25,825
  6. Step 6: Final answer
    x = 116,063.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.