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Finding the Third Proportional to 18,874 and 25,541

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Solution

The third proportional to 18,874 and 25,541 is: 34,563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,874 : 25,541 = 25,541 : x
  2. Step 2: Convert to fraction form
    18,874/25,541 = 25,541/x
  3. Step 3: Cross multiply
    18,874x = 25,541 × 25,541
  4. Step 4: Simplify right side
    18,874x = 652,342,681
  5. Step 5: Solve for x
    x = 652,342,681/18,874
  6. Step 6: Final answer
    x = 34,563.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.