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Finding the Third Proportional to 17,564 and 26,532

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Solution

The third proportional to 17,564 and 26,532 is: 40,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564 : 26,532 = 26,532 : x
  2. Step 2: Convert to fraction form
    17,564/26,532 = 26,532/x
  3. Step 3: Cross multiply
    17,564x = 26,532 × 26,532
  4. Step 4: Simplify right side
    17,564x = 703,947,024
  5. Step 5: Solve for x
    x = 703,947,024/17,564
  6. Step 6: Final answer
    x = 40,078.97

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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.