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Finding the Third Proportional to 14,418 and 21,764.25

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Solution

The third proportional to 14,418 and 21,764.25 is: 32,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418 : 21,764.25 = 21,764.25 : x
  2. Step 2: Convert to fraction form
    14,418/21,764.25 = 21,764.25/x
  3. Step 3: Cross multiply
    14,418x = 21,764.25 × 21,764.25
  4. Step 4: Simplify right side
    14,418x = 473,682,578.06
  5. Step 5: Solve for x
    x = 473,682,578.06/14,418
  6. Step 6: Final answer
    x = 32,853.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.