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Finding the Third Proportional to 17,005.50 and 37,293

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Solution

The third proportional to 17,005.50 and 37,293 is: 81,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.50 : 37,293 = 37,293 : x
  2. Step 2: Convert to fraction form
    17,005.50/37,293 = 37,293/x
  3. Step 3: Cross multiply
    17,005.50x = 37,293 × 37,293
  4. Step 4: Simplify right side
    17,005.50x = 1,390,767,849
  5. Step 5: Solve for x
    x = 1,390,767,849/17,005.50
  6. Step 6: Final answer
    x = 81,783.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.