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Finding the Third Proportional to 39,824 and 58,822

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Solution

The third proportional to 39,824 and 58,822 is: 86,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,824 : 58,822 = 58,822 : x
  2. Step 2: Convert to fraction form
    39,824/58,822 = 58,822/x
  3. Step 3: Cross multiply
    39,824x = 58,822 × 58,822
  4. Step 4: Simplify right side
    39,824x = 3,460,027,684
  5. Step 5: Solve for x
    x = 3,460,027,684/39,824
  6. Step 6: Final answer
    x = 86,882.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.