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Finding the Third Proportional to 17,719.50 and 26,532

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Solution

The third proportional to 17,719.50 and 26,532 is: 39,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.50 : 26,532 = 26,532 : x
  2. Step 2: Convert to fraction form
    17,719.50/26,532 = 26,532/x
  3. Step 3: Cross multiply
    17,719.50x = 26,532 × 26,532
  4. Step 4: Simplify right side
    17,719.50x = 703,947,024
  5. Step 5: Solve for x
    x = 703,947,024/17,719.50
  6. Step 6: Final answer
    x = 39,727.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.