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Finding the Third Proportional to 10,929.25 and 23,416.75

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Solution

The third proportional to 10,929.25 and 23,416.75 is: 50,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.25 : 23,416.75 = 23,416.75 : x
  2. Step 2: Convert to fraction form
    10,929.25/23,416.75 = 23,416.75/x
  3. Step 3: Cross multiply
    10,929.25x = 23,416.75 × 23,416.75
  4. Step 4: Simplify right side
    10,929.25x = 548,344,180.56
  5. Step 5: Solve for x
    x = 548,344,180.56/10,929.25
  6. Step 6: Final answer
    x = 50,172.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.