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Finding the Third Proportional to 19,749 and 26,604

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Solution

The third proportional to 19,749 and 26,604 is: 35,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,749 : 26,604 = 26,604 : x
  2. Step 2: Convert to fraction form
    19,749/26,604 = 26,604/x
  3. Step 3: Cross multiply
    19,749x = 26,604 × 26,604
  4. Step 4: Simplify right side
    19,749x = 707,772,816
  5. Step 5: Solve for x
    x = 707,772,816/19,749
  6. Step 6: Final answer
    x = 35,838.41

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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.