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Finding the Third Proportional to 17,266.50 and 37,773

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Solution

The third proportional to 17,266.50 and 37,773 is: 82,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.50 : 37,773 = 37,773 : x
  2. Step 2: Convert to fraction form
    17,266.50/37,773 = 37,773/x
  3. Step 3: Cross multiply
    17,266.50x = 37,773 × 37,773
  4. Step 4: Simplify right side
    17,266.50x = 1,426,799,529
  5. Step 5: Solve for x
    x = 1,426,799,529/17,266.50
  6. Step 6: Final answer
    x = 82,633.97

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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.