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Finding the Third Proportional to 17,613 and 23,989

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Solution

The third proportional to 17,613 and 23,989 is: 32,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613 : 23,989 = 23,989 : x
  2. Step 2: Convert to fraction form
    17,613/23,989 = 23,989/x
  3. Step 3: Cross multiply
    17,613x = 23,989 × 23,989
  4. Step 4: Simplify right side
    17,613x = 575,472,121
  5. Step 5: Solve for x
    x = 575,472,121/17,613
  6. Step 6: Final answer
    x = 32,673.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.