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Finding the Third Proportional to 27,293 and 40,770

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Solution

The third proportional to 27,293 and 40,770 is: 60,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,293 : 40,770 = 40,770 : x
  2. Step 2: Convert to fraction form
    27,293/40,770 = 40,770/x
  3. Step 3: Cross multiply
    27,293x = 40,770 × 40,770
  4. Step 4: Simplify right side
    27,293x = 1,662,192,900
  5. Step 5: Solve for x
    x = 1,662,192,900/27,293
  6. Step 6: Final answer
    x = 60,901.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.