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Finding the Third Proportional to 13,757.63 and 20,666.25

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Solution

The third proportional to 13,757.63 and 20,666.25 is: 31,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.63 : 20,666.25 = 20,666.25 : x
  2. Step 2: Convert to fraction form
    13,757.63/20,666.25 = 20,666.25/x
  3. Step 3: Cross multiply
    13,757.63x = 20,666.25 × 20,666.25
  4. Step 4: Simplify right side
    13,757.63x = 427,093,889.06
  5. Step 5: Solve for x
    x = 427,093,889.06/13,757.63
  6. Step 6: Final answer
    x = 31,044.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.