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Finding the Third Proportional to 9,707 and 14,843

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Solution

The third proportional to 9,707 and 14,843 is: 22,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707 : 14,843 = 14,843 : x
  2. Step 2: Convert to fraction form
    9,707/14,843 = 14,843/x
  3. Step 3: Cross multiply
    9,707x = 14,843 × 14,843
  4. Step 4: Simplify right side
    9,707x = 220,314,649
  5. Step 5: Solve for x
    x = 220,314,649/9,707
  6. Step 6: Final answer
    x = 22,696.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.