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Finding the Third Proportional to 17,716.50 and 37,478.25

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Solution

The third proportional to 17,716.50 and 37,478.25 is: 79,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.50 : 37,478.25 = 37,478.25 : x
  2. Step 2: Convert to fraction form
    17,716.50/37,478.25 = 37,478.25/x
  3. Step 3: Cross multiply
    17,716.50x = 37,478.25 × 37,478.25
  4. Step 4: Simplify right side
    17,716.50x = 1,404,619,223.06
  5. Step 5: Solve for x
    x = 1,404,619,223.06/17,716.50
  6. Step 6: Final answer
    x = 79,283.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.