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Finding the Third Proportional to 46,300 and 67,804

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Solution

The third proportional to 46,300 and 67,804 is: 99,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,300 : 67,804 = 67,804 : x
  2. Step 2: Convert to fraction form
    46,300/67,804 = 67,804/x
  3. Step 3: Cross multiply
    46,300x = 67,804 × 67,804
  4. Step 4: Simplify right side
    46,300x = 4,597,382,416
  5. Step 5: Solve for x
    x = 4,597,382,416/46,300
  6. Step 6: Final answer
    x = 99,295.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.