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Finding the Third Proportional to 11,455 and 25,133

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Solution

The third proportional to 11,455 and 25,133 is: 55,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455 : 25,133 = 25,133 : x
  2. Step 2: Convert to fraction form
    11,455/25,133 = 25,133/x
  3. Step 3: Cross multiply
    11,455x = 25,133 × 25,133
  4. Step 4: Simplify right side
    11,455x = 631,667,689
  5. Step 5: Solve for x
    x = 631,667,689/11,455
  6. Step 6: Final answer
    x = 55,143.40

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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.