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Finding the Third Proportional to 46,082.25 and 73,274.63

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Solution

The third proportional to 46,082.25 and 73,274.63 is: 116,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,082.25 : 73,274.63 = 73,274.63 : x
  2. Step 2: Convert to fraction form
    46,082.25/73,274.63 = 73,274.63/x
  3. Step 3: Cross multiply
    46,082.25x = 73,274.63 × 73,274.63
  4. Step 4: Simplify right side
    46,082.25x = 5,369,170,668.89
  5. Step 5: Solve for x
    x = 5,369,170,668.89/46,082.25
  6. Step 6: Final answer
    x = 116,512.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.