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Finding the Third Proportional to 18,585 and 23,629.50

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Solution

The third proportional to 18,585 and 23,629.50 is: 30,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585 : 23,629.50 = 23,629.50 : x
  2. Step 2: Convert to fraction form
    18,585/23,629.50 = 23,629.50/x
  3. Step 3: Cross multiply
    18,585x = 23,629.50 × 23,629.50
  4. Step 4: Simplify right side
    18,585x = 558,353,270.25
  5. Step 5: Solve for x
    x = 558,353,270.25/18,585
  6. Step 6: Final answer
    x = 30,043.22

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.