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Finding the Third Proportional to 27,047 and 40,345

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Solution

The third proportional to 27,047 and 40,345 is: 60,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047 : 40,345 = 40,345 : x
  2. Step 2: Convert to fraction form
    27,047/40,345 = 40,345/x
  3. Step 3: Cross multiply
    27,047x = 40,345 × 40,345
  4. Step 4: Simplify right side
    27,047x = 1,627,719,025
  5. Step 5: Solve for x
    x = 1,627,719,025/27,047
  6. Step 6: Final answer
    x = 60,181.13

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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.