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Finding the Third Proportional to 9,857.38 and 21,623.19

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Solution

The third proportional to 9,857.38 and 21,623.19 is: 47,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.38 : 21,623.19 = 21,623.19 : x
  2. Step 2: Convert to fraction form
    9,857.38/21,623.19 = 21,623.19/x
  3. Step 3: Cross multiply
    9,857.38x = 21,623.19 × 21,623.19
  4. Step 4: Simplify right side
    9,857.38x = 467,562,237.66
  5. Step 5: Solve for x
    x = 467,562,237.66/9,857.38
  6. Step 6: Final answer
    x = 47,432.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.