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Finding the Third Proportional to 7,749 and 17,526

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Solution

The third proportional to 7,749 and 17,526 is: 39,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 17,526 = 17,526 : x
  2. Step 2: Convert to fraction form
    7,749/17,526 = 17,526/x
  3. Step 3: Cross multiply
    7,749x = 17,526 × 17,526
  4. Step 4: Simplify right side
    7,749x = 307,160,676
  5. Step 5: Solve for x
    x = 307,160,676/7,749
  6. Step 6: Final answer
    x = 39,638.75

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.