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Finding the Third Proportional to 35,673 and 84,364

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Solution

The third proportional to 35,673 and 84,364 is: 199,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,673 : 84,364 = 84,364 : x
  2. Step 2: Convert to fraction form
    35,673/84,364 = 84,364/x
  3. Step 3: Cross multiply
    35,673x = 84,364 × 84,364
  4. Step 4: Simplify right side
    35,673x = 7,117,284,496
  5. Step 5: Solve for x
    x = 7,117,284,496/35,673
  6. Step 6: Final answer
    x = 199,514.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.