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Finding the Third Proportional to 35,829 and 83,676.75

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Solution

The third proportional to 35,829 and 83,676.75 is: 195,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829 : 83,676.75 = 83,676.75 : x
  2. Step 2: Convert to fraction form
    35,829/83,676.75 = 83,676.75/x
  3. Step 3: Cross multiply
    35,829x = 83,676.75 × 83,676.75
  4. Step 4: Simplify right side
    35,829x = 7,001,798,490.56
  5. Step 5: Solve for x
    x = 7,001,798,490.56/35,829
  6. Step 6: Final answer
    x = 195,422.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.