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Finding the Third Proportional to 14,417 and 18,422

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Solution

The third proportional to 14,417 and 18,422 is: 23,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417 : 18,422 = 18,422 : x
  2. Step 2: Convert to fraction form
    14,417/18,422 = 18,422/x
  3. Step 3: Cross multiply
    14,417x = 18,422 × 18,422
  4. Step 4: Simplify right side
    14,417x = 339,370,084
  5. Step 5: Solve for x
    x = 339,370,084/14,417
  6. Step 6: Final answer
    x = 23,539.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.