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Finding the Third Proportional to 9,650 and 14,891

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Solution

The third proportional to 9,650 and 14,891 is: 22,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650 : 14,891 = 14,891 : x
  2. Step 2: Convert to fraction form
    9,650/14,891 = 14,891/x
  3. Step 3: Cross multiply
    9,650x = 14,891 × 14,891
  4. Step 4: Simplify right side
    9,650x = 221,741,881
  5. Step 5: Solve for x
    x = 221,741,881/9,650
  6. Step 6: Final answer
    x = 22,978.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.