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Finding the Third Proportional to 17,724 and 26,242

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Solution

The third proportional to 17,724 and 26,242 is: 38,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724 : 26,242 = 26,242 : x
  2. Step 2: Convert to fraction form
    17,724/26,242 = 26,242/x
  3. Step 3: Cross multiply
    17,724x = 26,242 × 26,242
  4. Step 4: Simplify right side
    17,724x = 688,642,564
  5. Step 5: Solve for x
    x = 688,642,564/17,724
  6. Step 6: Final answer
    x = 38,853.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.