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Finding the Third Proportional to 38,164 and 51,414

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Solution

The third proportional to 38,164 and 51,414 is: 69,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,164 : 51,414 = 51,414 : x
  2. Step 2: Convert to fraction form
    38,164/51,414 = 51,414/x
  3. Step 3: Cross multiply
    38,164x = 51,414 × 51,414
  4. Step 4: Simplify right side
    38,164x = 2,643,399,396
  5. Step 5: Solve for x
    x = 2,643,399,396/38,164
  6. Step 6: Final answer
    x = 69,264.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.