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Finding the Third Proportional to 25,440 and 55,434

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Solution

The third proportional to 25,440 and 55,434 is: 120,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,440 : 55,434 = 55,434 : x
  2. Step 2: Convert to fraction form
    25,440/55,434 = 55,434/x
  3. Step 3: Cross multiply
    25,440x = 55,434 × 55,434
  4. Step 4: Simplify right side
    25,440x = 3,072,928,356
  5. Step 5: Solve for x
    x = 3,072,928,356/25,440
  6. Step 6: Final answer
    x = 120,791.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.