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Finding the Third Proportional to 29,824 and 40,359

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Solution

The third proportional to 29,824 and 40,359 is: 54,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824 : 40,359 = 40,359 : x
  2. Step 2: Convert to fraction form
    29,824/40,359 = 40,359/x
  3. Step 3: Cross multiply
    29,824x = 40,359 × 40,359
  4. Step 4: Simplify right side
    29,824x = 1,628,848,881
  5. Step 5: Solve for x
    x = 1,628,848,881/29,824
  6. Step 6: Final answer
    x = 54,615.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.