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Finding the Third Proportional to 35,805 and 84,220.50

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Solution

The third proportional to 35,805 and 84,220.50 is: 198,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,805 : 84,220.50 = 84,220.50 : x
  2. Step 2: Convert to fraction form
    35,805/84,220.50 = 84,220.50/x
  3. Step 3: Cross multiply
    35,805x = 84,220.50 × 84,220.50
  4. Step 4: Simplify right side
    35,805x = 7,093,092,620.25
  5. Step 5: Solve for x
    x = 7,093,092,620.25/35,805
  6. Step 6: Final answer
    x = 198,103.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.