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Finding the Third Proportional to 35,805 and 79,021.50

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Solution

The third proportional to 35,805 and 79,021.50 is: 174,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,805 : 79,021.50 = 79,021.50 : x
  2. Step 2: Convert to fraction form
    35,805/79,021.50 = 79,021.50/x
  3. Step 3: Cross multiply
    35,805x = 79,021.50 × 79,021.50
  4. Step 4: Simplify right side
    35,805x = 6,244,397,462.25
  5. Step 5: Solve for x
    x = 6,244,397,462.25/35,805
  6. Step 6: Final answer
    x = 174,400.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.