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Finding the Third Proportional to 9,623 and 20,461

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Solution

The third proportional to 9,623 and 20,461 is: 43,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623 : 20,461 = 20,461 : x
  2. Step 2: Convert to fraction form
    9,623/20,461 = 20,461/x
  3. Step 3: Cross multiply
    9,623x = 20,461 × 20,461
  4. Step 4: Simplify right side
    9,623x = 418,652,521
  5. Step 5: Solve for x
    x = 418,652,521/9,623
  6. Step 6: Final answer
    x = 43,505.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.