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Finding the Third Proportional to 24,232 and 53,131

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Solution

The third proportional to 24,232 and 53,131 is: 116,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232 : 53,131 = 53,131 : x
  2. Step 2: Convert to fraction form
    24,232/53,131 = 53,131/x
  3. Step 3: Cross multiply
    24,232x = 53,131 × 53,131
  4. Step 4: Simplify right side
    24,232x = 2,822,903,161
  5. Step 5: Solve for x
    x = 2,822,903,161/24,232
  6. Step 6: Final answer
    x = 116,494.85

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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.