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Finding the Third Proportional to 35,011 and 53,164

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Solution

The third proportional to 35,011 and 53,164 is: 80,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,011 : 53,164 = 53,164 : x
  2. Step 2: Convert to fraction form
    35,011/53,164 = 53,164/x
  3. Step 3: Cross multiply
    35,011x = 53,164 × 53,164
  4. Step 4: Simplify right side
    35,011x = 2,826,410,896
  5. Step 5: Solve for x
    x = 2,826,410,896/35,011
  6. Step 6: Final answer
    x = 80,729.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.