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Finding the Third Proportional to 10,254 and 22,425

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Solution

The third proportional to 10,254 and 22,425 is: 49,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254 : 22,425 = 22,425 : x
  2. Step 2: Convert to fraction form
    10,254/22,425 = 22,425/x
  3. Step 3: Cross multiply
    10,254x = 22,425 × 22,425
  4. Step 4: Simplify right side
    10,254x = 502,880,625
  5. Step 5: Solve for x
    x = 502,880,625/10,254
  6. Step 6: Final answer
    x = 49,042.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.