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Finding the Third Proportional to 9,559 and 14,057

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Solution

The third proportional to 9,559 and 14,057 is: 20,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559 : 14,057 = 14,057 : x
  2. Step 2: Convert to fraction form
    9,559/14,057 = 14,057/x
  3. Step 3: Cross multiply
    9,559x = 14,057 × 14,057
  4. Step 4: Simplify right side
    9,559x = 197,599,249
  5. Step 5: Solve for x
    x = 197,599,249/9,559
  6. Step 6: Final answer
    x = 20,671.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.