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Finding the Third Proportional to 30,991.50 and 63,615

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Solution

The third proportional to 30,991.50 and 63,615 is: 130,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.50 : 63,615 = 63,615 : x
  2. Step 2: Convert to fraction form
    30,991.50/63,615 = 63,615/x
  3. Step 3: Cross multiply
    30,991.50x = 63,615 × 63,615
  4. Step 4: Simplify right side
    30,991.50x = 4,046,868,225
  5. Step 5: Solve for x
    x = 4,046,868,225/30,991.50
  6. Step 6: Final answer
    x = 130,579.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.