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Finding the Third Proportional to 11,453.63 and 25,059.38

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Solution

The third proportional to 11,453.63 and 25,059.38 is: 54,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.63 : 25,059.38 = 25,059.38 : x
  2. Step 2: Convert to fraction form
    11,453.63/25,059.38 = 25,059.38/x
  3. Step 3: Cross multiply
    11,453.63x = 25,059.38 × 25,059.38
  4. Step 4: Simplify right side
    11,453.63x = 627,972,275.39
  5. Step 5: Solve for x
    x = 627,972,275.39/11,453.63
  6. Step 6: Final answer
    x = 54,827.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.