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Finding the Third Proportional to 21,654 and 29,189.25

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Solution

The third proportional to 21,654 and 29,189.25 is: 39,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654 : 29,189.25 = 29,189.25 : x
  2. Step 2: Convert to fraction form
    21,654/29,189.25 = 29,189.25/x
  3. Step 3: Cross multiply
    21,654x = 29,189.25 × 29,189.25
  4. Step 4: Simplify right side
    21,654x = 852,012,315.56
  5. Step 5: Solve for x
    x = 852,012,315.56/21,654
  6. Step 6: Final answer
    x = 39,346.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.