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Finding the Third Proportional to 18,613 and 25,867.50

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Solution

The third proportional to 18,613 and 25,867.50 is: 35,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,613 : 25,867.50 = 25,867.50 : x
  2. Step 2: Convert to fraction form
    18,613/25,867.50 = 25,867.50/x
  3. Step 3: Cross multiply
    18,613x = 25,867.50 × 25,867.50
  4. Step 4: Simplify right side
    18,613x = 669,127,556.25
  5. Step 5: Solve for x
    x = 669,127,556.25/18,613
  6. Step 6: Final answer
    x = 35,949.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.