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Finding the Third Proportional to 10,946 and 24,232

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Solution

The third proportional to 10,946 and 24,232 is: 53,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946 : 24,232 = 24,232 : x
  2. Step 2: Convert to fraction form
    10,946/24,232 = 24,232/x
  3. Step 3: Cross multiply
    10,946x = 24,232 × 24,232
  4. Step 4: Simplify right side
    10,946x = 587,189,824
  5. Step 5: Solve for x
    x = 587,189,824/10,946
  6. Step 6: Final answer
    x = 53,644.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.