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Finding the Third Proportional to 21,546 and 29,097

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Solution

The third proportional to 21,546 and 29,097 is: 39,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546 : 29,097 = 29,097 : x
  2. Step 2: Convert to fraction form
    21,546/29,097 = 29,097/x
  3. Step 3: Cross multiply
    21,546x = 29,097 × 29,097
  4. Step 4: Simplify right side
    21,546x = 846,635,409
  5. Step 5: Solve for x
    x = 846,635,409/21,546
  6. Step 6: Final answer
    x = 39,294.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.