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Finding the Third Proportional to 14,152 and 20,216

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Solution

The third proportional to 14,152 and 20,216 is: 28,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152 : 20,216 = 20,216 : x
  2. Step 2: Convert to fraction form
    14,152/20,216 = 20,216/x
  3. Step 3: Cross multiply
    14,152x = 20,216 × 20,216
  4. Step 4: Simplify right side
    14,152x = 408,686,656
  5. Step 5: Solve for x
    x = 408,686,656/14,152
  6. Step 6: Final answer
    x = 28,878.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.