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Finding the Third Proportional to 24,056 and 52,632

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Solution

The third proportional to 24,056 and 52,632 is: 115,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,056 : 52,632 = 52,632 : x
  2. Step 2: Convert to fraction form
    24,056/52,632 = 52,632/x
  3. Step 3: Cross multiply
    24,056x = 52,632 × 52,632
  4. Step 4: Simplify right side
    24,056x = 2,770,127,424
  5. Step 5: Solve for x
    x = 2,770,127,424/24,056
  6. Step 6: Final answer
    x = 115,153.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.