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Finding the Third Proportional to 17,546 and 26,501

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Solution

The third proportional to 17,546 and 26,501 is: 40,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546 : 26,501 = 26,501 : x
  2. Step 2: Convert to fraction form
    17,546/26,501 = 26,501/x
  3. Step 3: Cross multiply
    17,546x = 26,501 × 26,501
  4. Step 4: Simplify right side
    17,546x = 702,303,001
  5. Step 5: Solve for x
    x = 702,303,001/17,546
  6. Step 6: Final answer
    x = 40,026.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.