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Finding the Third Proportional to 19,824 and 29,410

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Solution

The third proportional to 19,824 and 29,410 is: 43,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 29,410 = 29,410 : x
  2. Step 2: Convert to fraction form
    19,824/29,410 = 29,410/x
  3. Step 3: Cross multiply
    19,824x = 29,410 × 29,410
  4. Step 4: Simplify right side
    19,824x = 864,948,100
  5. Step 5: Solve for x
    x = 864,948,100/19,824
  6. Step 6: Final answer
    x = 43,631.36

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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.