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Finding the Third Proportional to 14,394.38 and 21,815.16

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Solution

The third proportional to 14,394.38 and 21,815.16 is: 33,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394.38 : 21,815.16 = 21,815.16 : x
  2. Step 2: Convert to fraction form
    14,394.38/21,815.16 = 21,815.16/x
  3. Step 3: Cross multiply
    14,394.38x = 21,815.16 × 21,815.16
  4. Step 4: Simplify right side
    14,394.38x = 475,901,042.21
  5. Step 5: Solve for x
    x = 475,901,042.21/14,394.38
  6. Step 6: Final answer
    x = 33,061.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.