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Finding the Third Proportional to 9,554 and 14,779

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Solution

The third proportional to 9,554 and 14,779 is: 22,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554 : 14,779 = 14,779 : x
  2. Step 2: Convert to fraction form
    9,554/14,779 = 14,779/x
  3. Step 3: Cross multiply
    9,554x = 14,779 × 14,779
  4. Step 4: Simplify right side
    9,554x = 218,418,841
  5. Step 5: Solve for x
    x = 218,418,841/9,554
  6. Step 6: Final answer
    x = 22,861.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.