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Finding the Third Proportional to 46,546 and 100,472

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Solution

The third proportional to 46,546 and 100,472 is: 216,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,546 : 100,472 = 100,472 : x
  2. Step 2: Convert to fraction form
    46,546/100,472 = 100,472/x
  3. Step 3: Cross multiply
    46,546x = 100,472 × 100,472
  4. Step 4: Simplify right side
    46,546x = 10,094,622,784
  5. Step 5: Solve for x
    x = 10,094,622,784/46,546
  6. Step 6: Final answer
    x = 216,874.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.