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Finding the Third Proportional to 18,580.50 and 26,615

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Solution

The third proportional to 18,580.50 and 26,615 is: 38,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.50 : 26,615 = 26,615 : x
  2. Step 2: Convert to fraction form
    18,580.50/26,615 = 26,615/x
  3. Step 3: Cross multiply
    18,580.50x = 26,615 × 26,615
  4. Step 4: Simplify right side
    18,580.50x = 708,358,225
  5. Step 5: Solve for x
    x = 708,358,225/18,580.50
  6. Step 6: Final answer
    x = 38,123.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.