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Finding the Third Proportional to 36,220 and 55,970

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Solution

The third proportional to 36,220 and 55,970 is: 86,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,220 : 55,970 = 55,970 : x
  2. Step 2: Convert to fraction form
    36,220/55,970 = 55,970/x
  3. Step 3: Cross multiply
    36,220x = 55,970 × 55,970
  4. Step 4: Simplify right side
    36,220x = 3,132,640,900
  5. Step 5: Solve for x
    x = 3,132,640,900/36,220
  6. Step 6: Final answer
    x = 86,489.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.