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Finding the Third Proportional to 27,546 and 40,023

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Solution

The third proportional to 27,546 and 40,023 is: 58,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546 : 40,023 = 40,023 : x
  2. Step 2: Convert to fraction form
    27,546/40,023 = 40,023/x
  3. Step 3: Cross multiply
    27,546x = 40,023 × 40,023
  4. Step 4: Simplify right side
    27,546x = 1,601,840,529
  5. Step 5: Solve for x
    x = 1,601,840,529/27,546
  6. Step 6: Final answer
    x = 58,151.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.