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Finding the Third Proportional to 27,043 and 40,340

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Solution

The third proportional to 27,043 and 40,340 is: 60,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,043 : 40,340 = 40,340 : x
  2. Step 2: Convert to fraction form
    27,043/40,340 = 40,340/x
  3. Step 3: Cross multiply
    27,043x = 40,340 × 40,340
  4. Step 4: Simplify right side
    27,043x = 1,627,315,600
  5. Step 5: Solve for x
    x = 1,627,315,600/27,043
  6. Step 6: Final answer
    x = 60,175.11

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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.