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Finding the Third Proportional to 21,409.31 and 22,890.09

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Solution

The third proportional to 21,409.31 and 22,890.09 is: 24,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.31 : 22,890.09 = 22,890.09 : x
  2. Step 2: Convert to fraction form
    21,409.31/22,890.09 = 22,890.09/x
  3. Step 3: Cross multiply
    21,409.31x = 22,890.09 × 22,890.09
  4. Step 4: Simplify right side
    21,409.31x = 523,956,391.88
  5. Step 5: Solve for x
    x = 523,956,391.88/21,409.31
  6. Step 6: Final answer
    x = 24,473.29

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.