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Finding the Third Proportional to 19,986 and 29,412

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Solution

The third proportional to 19,986 and 29,412 is: 43,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986 : 29,412 = 29,412 : x
  2. Step 2: Convert to fraction form
    19,986/29,412 = 29,412/x
  3. Step 3: Cross multiply
    19,986x = 29,412 × 29,412
  4. Step 4: Simplify right side
    19,986x = 865,065,744
  5. Step 5: Solve for x
    x = 865,065,744/19,986
  6. Step 6: Final answer
    x = 43,283.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.