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Finding the Third Proportional to 17,476.50 and 37,424.63

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Solution

The third proportional to 17,476.50 and 37,424.63 is: 80,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,476.50 : 37,424.63 = 37,424.63 : x
  2. Step 2: Convert to fraction form
    17,476.50/37,424.63 = 37,424.63/x
  3. Step 3: Cross multiply
    17,476.50x = 37,424.63 × 37,424.63
  4. Step 4: Simplify right side
    17,476.50x = 1,400,602,556.39
  5. Step 5: Solve for x
    x = 1,400,602,556.39/17,476.50
  6. Step 6: Final answer
    x = 80,142.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.