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Finding the Third Proportional to 21,665 and 46,553

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Solution

The third proportional to 21,665 and 46,553 is: 100,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665 : 46,553 = 46,553 : x
  2. Step 2: Convert to fraction form
    21,665/46,553 = 46,553/x
  3. Step 3: Cross multiply
    21,665x = 46,553 × 46,553
  4. Step 4: Simplify right side
    21,665x = 2,167,181,809
  5. Step 5: Solve for x
    x = 2,167,181,809/21,665
  6. Step 6: Final answer
    x = 100,031.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.