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Finding the Third Proportional to 21,391.50 and 23,305.50

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Solution

The third proportional to 21,391.50 and 23,305.50 is: 25,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391.50 : 23,305.50 = 23,305.50 : x
  2. Step 2: Convert to fraction form
    21,391.50/23,305.50 = 23,305.50/x
  3. Step 3: Cross multiply
    21,391.50x = 23,305.50 × 23,305.50
  4. Step 4: Simplify right side
    21,391.50x = 543,146,330.25
  5. Step 5: Solve for x
    x = 543,146,330.25/21,391.50
  6. Step 6: Final answer
    x = 25,390.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.