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Finding the Third Proportional to 24,334 and 53,456

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Solution

The third proportional to 24,334 and 53,456 is: 117,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334 : 53,456 = 53,456 : x
  2. Step 2: Convert to fraction form
    24,334/53,456 = 53,456/x
  3. Step 3: Cross multiply
    24,334x = 53,456 × 53,456
  4. Step 4: Simplify right side
    24,334x = 2,857,543,936
  5. Step 5: Solve for x
    x = 2,857,543,936/24,334
  6. Step 6: Final answer
    x = 117,430.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.