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Finding the Third Proportional to 41,258 and 55,434

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Solution

The third proportional to 41,258 and 55,434 is: 74,480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,258 : 55,434 = 55,434 : x
  2. Step 2: Convert to fraction form
    41,258/55,434 = 55,434/x
  3. Step 3: Cross multiply
    41,258x = 55,434 × 55,434
  4. Step 4: Simplify right side
    41,258x = 3,072,928,356
  5. Step 5: Solve for x
    x = 3,072,928,356/41,258
  6. Step 6: Final answer
    x = 74,480.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.