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Finding the Third Proportional to 21,167 and 46,486

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Solution

The third proportional to 21,167 and 46,486 is: 102,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167 : 46,486 = 46,486 : x
  2. Step 2: Convert to fraction form
    21,167/46,486 = 46,486/x
  3. Step 3: Cross multiply
    21,167x = 46,486 × 46,486
  4. Step 4: Simplify right side
    21,167x = 2,160,948,196
  5. Step 5: Solve for x
    x = 2,160,948,196/21,167
  6. Step 6: Final answer
    x = 102,090.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.