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Finding the Third Proportional to 29,601 and 65,033

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Solution

The third proportional to 29,601 and 65,033 is: 142,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601 : 65,033 = 65,033 : x
  2. Step 2: Convert to fraction form
    29,601/65,033 = 65,033/x
  3. Step 3: Cross multiply
    29,601x = 65,033 × 65,033
  4. Step 4: Simplify right side
    29,601x = 4,229,291,089
  5. Step 5: Solve for x
    x = 4,229,291,089/29,601
  6. Step 6: Final answer
    x = 142,876.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.