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Finding the Third Proportional to 17,775.50 and 38,899

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Solution

The third proportional to 17,775.50 and 38,899 is: 85,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.50 : 38,899 = 38,899 : x
  2. Step 2: Convert to fraction form
    17,775.50/38,899 = 38,899/x
  3. Step 3: Cross multiply
    17,775.50x = 38,899 × 38,899
  4. Step 4: Simplify right side
    17,775.50x = 1,513,132,201
  5. Step 5: Solve for x
    x = 1,513,132,201/17,775.50
  6. Step 6: Final answer
    x = 85,124.59

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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.