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Finding the Third Proportional to 23,076 and 50,310

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Solution

The third proportional to 23,076 and 50,310 is: 109,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076 : 50,310 = 50,310 : x
  2. Step 2: Convert to fraction form
    23,076/50,310 = 50,310/x
  3. Step 3: Cross multiply
    23,076x = 50,310 × 50,310
  4. Step 4: Simplify right side
    23,076x = 2,531,096,100
  5. Step 5: Solve for x
    x = 2,531,096,100/23,076
  6. Step 6: Final answer
    x = 109,685.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.