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Finding the Third Proportional to 17,677.50 and 38,475

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Solution

The third proportional to 17,677.50 and 38,475 is: 83,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.50 : 38,475 = 38,475 : x
  2. Step 2: Convert to fraction form
    17,677.50/38,475 = 38,475/x
  3. Step 3: Cross multiply
    17,677.50x = 38,475 × 38,475
  4. Step 4: Simplify right side
    17,677.50x = 1,480,325,625
  5. Step 5: Solve for x
    x = 1,480,325,625/17,677.50
  6. Step 6: Final answer
    x = 83,740.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.