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Finding the Third Proportional to 20,243 and 47,280

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Solution

The third proportional to 20,243 and 47,280 is: 110,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,243 : 47,280 = 47,280 : x
  2. Step 2: Convert to fraction form
    20,243/47,280 = 47,280/x
  3. Step 3: Cross multiply
    20,243x = 47,280 × 47,280
  4. Step 4: Simplify right side
    20,243x = 2,235,398,400
  5. Step 5: Solve for x
    x = 2,235,398,400/20,243
  6. Step 6: Final answer
    x = 110,428.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.