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Finding the Third Proportional to 9,607 and 20,855

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Solution

The third proportional to 9,607 and 20,855 is: 45,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607 : 20,855 = 20,855 : x
  2. Step 2: Convert to fraction form
    9,607/20,855 = 20,855/x
  3. Step 3: Cross multiply
    9,607x = 20,855 × 20,855
  4. Step 4: Simplify right side
    9,607x = 434,931,025
  5. Step 5: Solve for x
    x = 434,931,025/9,607
  6. Step 6: Final answer
    x = 45,272.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.