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Finding the Third Proportional to 14,126.63 and 20,757.94

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Solution

The third proportional to 14,126.63 and 20,757.94 is: 30,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.63 : 20,757.94 = 20,757.94 : x
  2. Step 2: Convert to fraction form
    14,126.63/20,757.94 = 20,757.94/x
  3. Step 3: Cross multiply
    14,126.63x = 20,757.94 × 20,757.94
  4. Step 4: Simplify right side
    14,126.63x = 430,891,969.25
  5. Step 5: Solve for x
    x = 430,891,969.25/14,126.63
  6. Step 6: Final answer
    x = 30,502.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.