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Finding the Third Proportional to 14,409 and 21,062.25

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Solution

The third proportional to 14,409 and 21,062.25 is: 30,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409 : 21,062.25 = 21,062.25 : x
  2. Step 2: Convert to fraction form
    14,409/21,062.25 = 21,062.25/x
  3. Step 3: Cross multiply
    14,409x = 21,062.25 × 21,062.25
  4. Step 4: Simplify right side
    14,409x = 443,618,375.06
  5. Step 5: Solve for x
    x = 443,618,375.06/14,409
  6. Step 6: Final answer
    x = 30,787.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.