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Finding the Third Proportional to 17,913.50 and 38,773

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Solution

The third proportional to 17,913.50 and 38,773 is: 83,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,913.50 : 38,773 = 38,773 : x
  2. Step 2: Convert to fraction form
    17,913.50/38,773 = 38,773/x
  3. Step 3: Cross multiply
    17,913.50x = 38,773 × 38,773
  4. Step 4: Simplify right side
    17,913.50x = 1,503,345,529
  5. Step 5: Solve for x
    x = 1,503,345,529/17,913.50
  6. Step 6: Final answer
    x = 83,922.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.