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Finding the Third Proportional to 46,340 and 73,200

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Solution

The third proportional to 46,340 and 73,200 is: 115,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,340 : 73,200 = 73,200 : x
  2. Step 2: Convert to fraction form
    46,340/73,200 = 73,200/x
  3. Step 3: Cross multiply
    46,340x = 73,200 × 73,200
  4. Step 4: Simplify right side
    46,340x = 5,358,240,000
  5. Step 5: Solve for x
    x = 5,358,240,000/46,340
  6. Step 6: Final answer
    x = 115,628.83

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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.