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Finding the Third Proportional to 27,004 and 35,946

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Solution

The third proportional to 27,004 and 35,946 is: 47,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004 : 35,946 = 35,946 : x
  2. Step 2: Convert to fraction form
    27,004/35,946 = 35,946/x
  3. Step 3: Cross multiply
    27,004x = 35,946 × 35,946
  4. Step 4: Simplify right side
    27,004x = 1,292,114,916
  5. Step 5: Solve for x
    x = 1,292,114,916/27,004
  6. Step 6: Final answer
    x = 47,849.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.