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Finding the Third Proportional to 29,980 and 43,313

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Solution

The third proportional to 29,980 and 43,313 is: 62,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980 : 43,313 = 43,313 : x
  2. Step 2: Convert to fraction form
    29,980/43,313 = 43,313/x
  3. Step 3: Cross multiply
    29,980x = 43,313 × 43,313
  4. Step 4: Simplify right side
    29,980x = 1,876,015,969
  5. Step 5: Solve for x
    x = 1,876,015,969/29,980
  6. Step 6: Final answer
    x = 62,575.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.