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Finding the Third Proportional to 19,768 and 46,672

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Solution

The third proportional to 19,768 and 46,672 is: 110,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768 : 46,672 = 46,672 : x
  2. Step 2: Convert to fraction form
    19,768/46,672 = 46,672/x
  3. Step 3: Cross multiply
    19,768x = 46,672 × 46,672
  4. Step 4: Simplify right side
    19,768x = 2,178,275,584
  5. Step 5: Solve for x
    x = 2,178,275,584/19,768
  6. Step 6: Final answer
    x = 110,192.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.