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Finding the Third Proportional to 39,069 and 85,488.75

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Solution

The third proportional to 39,069 and 85,488.75 is: 187,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,069 : 85,488.75 = 85,488.75 : x
  2. Step 2: Convert to fraction form
    39,069/85,488.75 = 85,488.75/x
  3. Step 3: Cross multiply
    39,069x = 85,488.75 × 85,488.75
  4. Step 4: Simplify right side
    39,069x = 7,308,326,376.56
  5. Step 5: Solve for x
    x = 7,308,326,376.56/39,069
  6. Step 6: Final answer
    x = 187,062.03

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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.