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Finding the Third Proportional to 28,258 and 38,378

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Solution

The third proportional to 28,258 and 38,378 is: 52,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,258 : 38,378 = 38,378 : x
  2. Step 2: Convert to fraction form
    28,258/38,378 = 38,378/x
  3. Step 3: Cross multiply
    28,258x = 38,378 × 38,378
  4. Step 4: Simplify right side
    28,258x = 1,472,870,884
  5. Step 5: Solve for x
    x = 1,472,870,884/28,258
  6. Step 6: Final answer
    x = 52,122.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.