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Finding the Third Proportional to 20,007 and 46,317

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Solution

The third proportional to 20,007 and 46,317 is: 107,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 46,317 = 46,317 : x
  2. Step 2: Convert to fraction form
    20,007/46,317 = 46,317/x
  3. Step 3: Cross multiply
    20,007x = 46,317 × 46,317
  4. Step 4: Simplify right side
    20,007x = 2,145,264,489
  5. Step 5: Solve for x
    x = 2,145,264,489/20,007
  6. Step 6: Final answer
    x = 107,225.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.