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Finding the Third Proportional to 9,072.28 and 14,256.42

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Solution

The third proportional to 9,072.28 and 14,256.42 is: 22,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.28 : 14,256.42 = 14,256.42 : x
  2. Step 2: Convert to fraction form
    9,072.28/14,256.42 = 14,256.42/x
  3. Step 3: Cross multiply
    9,072.28x = 14,256.42 × 14,256.42
  4. Step 4: Simplify right side
    9,072.28x = 203,245,564.68
  5. Step 5: Solve for x
    x = 203,245,564.68/9,072.28
  6. Step 6: Final answer
    x = 22,402.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.