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Finding the Third Proportional to 46,352.50 and 69,344

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Solution

The third proportional to 46,352.50 and 69,344 is: 103,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,352.50 : 69,344 = 69,344 : x
  2. Step 2: Convert to fraction form
    46,352.50/69,344 = 69,344/x
  3. Step 3: Cross multiply
    46,352.50x = 69,344 × 69,344
  4. Step 4: Simplify right side
    46,352.50x = 4,808,590,336
  5. Step 5: Solve for x
    x = 4,808,590,336/46,352.50
  6. Step 6: Final answer
    x = 103,739.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.