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Finding the Third Proportional to 14,243 and 21,922

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Solution

The third proportional to 14,243 and 21,922 is: 33,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243 : 21,922 = 21,922 : x
  2. Step 2: Convert to fraction form
    14,243/21,922 = 21,922/x
  3. Step 3: Cross multiply
    14,243x = 21,922 × 21,922
  4. Step 4: Simplify right side
    14,243x = 480,574,084
  5. Step 5: Solve for x
    x = 480,574,084/14,243
  6. Step 6: Final answer
    x = 33,741.07

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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.