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Finding the Third Proportional to 17,526 and 19,902

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Solution

The third proportional to 17,526 and 19,902 is: 22,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526 : 19,902 = 19,902 : x
  2. Step 2: Convert to fraction form
    17,526/19,902 = 19,902/x
  3. Step 3: Cross multiply
    17,526x = 19,902 × 19,902
  4. Step 4: Simplify right side
    17,526x = 396,089,604
  5. Step 5: Solve for x
    x = 396,089,604/17,526
  6. Step 6: Final answer
    x = 22,600.11

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.