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Finding the Third Proportional to 19,755 and 46,636

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Solution

The third proportional to 19,755 and 46,636 is: 110,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755 : 46,636 = 46,636 : x
  2. Step 2: Convert to fraction form
    19,755/46,636 = 46,636/x
  3. Step 3: Cross multiply
    19,755x = 46,636 × 46,636
  4. Step 4: Simplify right side
    19,755x = 2,174,916,496
  5. Step 5: Solve for x
    x = 2,174,916,496/19,755
  6. Step 6: Final answer
    x = 110,094.48

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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.