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Finding the Third Proportional to 12,372.35 and 16,809.36

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Solution

The third proportional to 12,372.35 and 16,809.36 is: 22,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.35 : 16,809.36 = 16,809.36 : x
  2. Step 2: Convert to fraction form
    12,372.35/16,809.36 = 16,809.36/x
  3. Step 3: Cross multiply
    12,372.35x = 16,809.36 × 16,809.36
  4. Step 4: Simplify right side
    12,372.35x = 282,554,546.18
  5. Step 5: Solve for x
    x = 282,554,546.18/12,372.35
  6. Step 6: Final answer
    x = 22,837.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.