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Finding the Third Proportional to 11,265.75 and 14,428.13

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Solution

The third proportional to 11,265.75 and 14,428.13 is: 18,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.75 : 14,428.13 = 14,428.13 : x
  2. Step 2: Convert to fraction form
    11,265.75/14,428.13 = 14,428.13/x
  3. Step 3: Cross multiply
    11,265.75x = 14,428.13 × 14,428.13
  4. Step 4: Simplify right side
    11,265.75x = 208,170,791.02
  5. Step 5: Solve for x
    x = 208,170,791.02/11,265.75
  6. Step 6: Final answer
    x = 18,478.20

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.