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Finding the Third Proportional to 16,053.50 and 23,615

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Solution

The third proportional to 16,053.50 and 23,615 is: 34,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053.50 : 23,615 = 23,615 : x
  2. Step 2: Convert to fraction form
    16,053.50/23,615 = 23,615/x
  3. Step 3: Cross multiply
    16,053.50x = 23,615 × 23,615
  4. Step 4: Simplify right side
    16,053.50x = 557,668,225
  5. Step 5: Solve for x
    x = 557,668,225/16,053.50
  6. Step 6: Final answer
    x = 34,738.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.