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Finding the Third Proportional to 23,146 and 50,572

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Solution

The third proportional to 23,146 and 50,572 is: 110,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146 : 50,572 = 50,572 : x
  2. Step 2: Convert to fraction form
    23,146/50,572 = 50,572/x
  3. Step 3: Cross multiply
    23,146x = 50,572 × 50,572
  4. Step 4: Simplify right side
    23,146x = 2,557,527,184
  5. Step 5: Solve for x
    x = 2,557,527,184/23,146
  6. Step 6: Final answer
    x = 110,495.43

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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.