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Finding the Third Proportional to 19,258 and 40,028

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Solution

The third proportional to 19,258 and 40,028 is: 83,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258 : 40,028 = 40,028 : x
  2. Step 2: Convert to fraction form
    19,258/40,028 = 40,028/x
  3. Step 3: Cross multiply
    19,258x = 40,028 × 40,028
  4. Step 4: Simplify right side
    19,258x = 1,602,240,784
  5. Step 5: Solve for x
    x = 1,602,240,784/19,258
  6. Step 6: Final answer
    x = 83,198.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.