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Finding the Third Proportional to 22,956 and 50,280

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Solution

The third proportional to 22,956 and 50,280 is: 110,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956 : 50,280 = 50,280 : x
  2. Step 2: Convert to fraction form
    22,956/50,280 = 50,280/x
  3. Step 3: Cross multiply
    22,956x = 50,280 × 50,280
  4. Step 4: Simplify right side
    22,956x = 2,528,078,400
  5. Step 5: Solve for x
    x = 2,528,078,400/22,956
  6. Step 6: Final answer
    x = 110,127.13

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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.