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Finding the Third Proportional to 46,407 and 69,816

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Solution

The third proportional to 46,407 and 69,816 is: 105,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,407 : 69,816 = 69,816 : x
  2. Step 2: Convert to fraction form
    46,407/69,816 = 69,816/x
  3. Step 3: Cross multiply
    46,407x = 69,816 × 69,816
  4. Step 4: Simplify right side
    46,407x = 4,874,273,856
  5. Step 5: Solve for x
    x = 4,874,273,856/46,407
  6. Step 6: Final answer
    x = 105,033.16

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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.