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Finding the Third Proportional to 14,022 and 22,211

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Solution

The third proportional to 14,022 and 22,211 is: 35,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022 : 22,211 = 22,211 : x
  2. Step 2: Convert to fraction form
    14,022/22,211 = 22,211/x
  3. Step 3: Cross multiply
    14,022x = 22,211 × 22,211
  4. Step 4: Simplify right side
    14,022x = 493,328,521
  5. Step 5: Solve for x
    x = 493,328,521/14,022
  6. Step 6: Final answer
    x = 35,182.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.