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Finding the Third Proportional to 25,773 and 54,921

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Solution

The third proportional to 25,773 and 54,921 is: 117,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773 : 54,921 = 54,921 : x
  2. Step 2: Convert to fraction form
    25,773/54,921 = 54,921/x
  3. Step 3: Cross multiply
    25,773x = 54,921 × 54,921
  4. Step 4: Simplify right side
    25,773x = 3,016,316,241
  5. Step 5: Solve for x
    x = 3,016,316,241/25,773
  6. Step 6: Final answer
    x = 117,033.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.