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Finding the Third Proportional to 9,701 and 21,179

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Solution

The third proportional to 9,701 and 21,179 is: 46,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701 : 21,179 = 21,179 : x
  2. Step 2: Convert to fraction form
    9,701/21,179 = 21,179/x
  3. Step 3: Cross multiply
    9,701x = 21,179 × 21,179
  4. Step 4: Simplify right side
    9,701x = 448,550,041
  5. Step 5: Solve for x
    x = 448,550,041/9,701
  6. Step 6: Final answer
    x = 46,237.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.