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Finding the Third Proportional to 28,305 and 36,301

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Solution

The third proportional to 28,305 and 36,301 is: 46,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,305 : 36,301 = 36,301 : x
  2. Step 2: Convert to fraction form
    28,305/36,301 = 36,301/x
  3. Step 3: Cross multiply
    28,305x = 36,301 × 36,301
  4. Step 4: Simplify right side
    28,305x = 1,317,762,601
  5. Step 5: Solve for x
    x = 1,317,762,601/28,305
  6. Step 6: Final answer
    x = 46,555.82

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.