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Finding the Third Proportional to 46,674 and 73,656

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Solution

The third proportional to 46,674 and 73,656 is: 116,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674 : 73,656 = 73,656 : x
  2. Step 2: Convert to fraction form
    46,674/73,656 = 73,656/x
  3. Step 3: Cross multiply
    46,674x = 73,656 × 73,656
  4. Step 4: Simplify right side
    46,674x = 5,425,206,336
  5. Step 5: Solve for x
    x = 5,425,206,336/46,674
  6. Step 6: Final answer
    x = 116,236.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.