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Finding the Third Proportional to 40,824 and 58,860

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Solution

The third proportional to 40,824 and 58,860 is: 84,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,824 : 58,860 = 58,860 : x
  2. Step 2: Convert to fraction form
    40,824/58,860 = 58,860/x
  3. Step 3: Cross multiply
    40,824x = 58,860 × 58,860
  4. Step 4: Simplify right side
    40,824x = 3,464,499,600
  5. Step 5: Solve for x
    x = 3,464,499,600/40,824
  6. Step 6: Final answer
    x = 84,864.29

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