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Finding the Third Proportional to 12,324.66 and 17,561.81

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Solution

The third proportional to 12,324.66 and 17,561.81 is: 25,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.66 : 17,561.81 = 17,561.81 : x
  2. Step 2: Convert to fraction form
    12,324.66/17,561.81 = 17,561.81/x
  3. Step 3: Cross multiply
    12,324.66x = 17,561.81 × 17,561.81
  4. Step 4: Simplify right side
    12,324.66x = 308,417,258.29
  5. Step 5: Solve for x
    x = 308,417,258.29/12,324.66
  6. Step 6: Final answer
    x = 25,024.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.