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Finding the Third Proportional to 10,148.25 and 21,912

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Solution

The third proportional to 10,148.25 and 21,912 is: 47,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.25 : 21,912 = 21,912 : x
  2. Step 2: Convert to fraction form
    10,148.25/21,912 = 21,912/x
  3. Step 3: Cross multiply
    10,148.25x = 21,912 × 21,912
  4. Step 4: Simplify right side
    10,148.25x = 480,135,744
  5. Step 5: Solve for x
    x = 480,135,744/10,148.25
  6. Step 6: Final answer
    x = 47,312.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.