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Finding the Third Proportional to 19,525.50 and 39,591

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Solution

The third proportional to 19,525.50 and 39,591 is: 80,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,525.50 : 39,591 = 39,591 : x
  2. Step 2: Convert to fraction form
    19,525.50/39,591 = 39,591/x
  3. Step 3: Cross multiply
    19,525.50x = 39,591 × 39,591
  4. Step 4: Simplify right side
    19,525.50x = 1,567,447,281
  5. Step 5: Solve for x
    x = 1,567,447,281/19,525.50
  6. Step 6: Final answer
    x = 80,276.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.