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Finding the Third Proportional to 23,824 and 29,392

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Solution

The third proportional to 23,824 and 29,392 is: 36,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824 : 29,392 = 29,392 : x
  2. Step 2: Convert to fraction form
    23,824/29,392 = 29,392/x
  3. Step 3: Cross multiply
    23,824x = 29,392 × 29,392
  4. Step 4: Simplify right side
    23,824x = 863,889,664
  5. Step 5: Solve for x
    x = 863,889,664/23,824
  6. Step 6: Final answer
    x = 36,261.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.