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Finding the Third Proportional to 38,454 and 84,036

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Solution

The third proportional to 38,454 and 84,036 is: 183,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454 : 84,036 = 84,036 : x
  2. Step 2: Convert to fraction form
    38,454/84,036 = 84,036/x
  3. Step 3: Cross multiply
    38,454x = 84,036 × 84,036
  4. Step 4: Simplify right side
    38,454x = 7,062,049,296
  5. Step 5: Solve for x
    x = 7,062,049,296/38,454
  6. Step 6: Final answer
    x = 183,649.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.