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Finding the Third Proportional to 36,200 and 53,006

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Solution

The third proportional to 36,200 and 53,006 is: 77,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,200 : 53,006 = 53,006 : x
  2. Step 2: Convert to fraction form
    36,200/53,006 = 53,006/x
  3. Step 3: Cross multiply
    36,200x = 53,006 × 53,006
  4. Step 4: Simplify right side
    36,200x = 2,809,636,036
  5. Step 5: Solve for x
    x = 2,809,636,036/36,200
  6. Step 6: Final answer
    x = 77,614.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.