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Finding the Third Proportional to 20,302 and 47,090

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Solution

The third proportional to 20,302 and 47,090 is: 109,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302 : 47,090 = 47,090 : x
  2. Step 2: Convert to fraction form
    20,302/47,090 = 47,090/x
  3. Step 3: Cross multiply
    20,302x = 47,090 × 47,090
  4. Step 4: Simplify right side
    20,302x = 2,217,468,100
  5. Step 5: Solve for x
    x = 2,217,468,100/20,302
  6. Step 6: Final answer
    x = 109,224.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.