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Finding the Third Proportional to 27,225 and 41,646

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Solution

The third proportional to 27,225 and 41,646 is: 63,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225 : 41,646 = 41,646 : x
  2. Step 2: Convert to fraction form
    27,225/41,646 = 41,646/x
  3. Step 3: Cross multiply
    27,225x = 41,646 × 41,646
  4. Step 4: Simplify right side
    27,225x = 1,734,389,316
  5. Step 5: Solve for x
    x = 1,734,389,316/27,225
  6. Step 6: Final answer
    x = 63,705.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.