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Finding the Third Proportional to 12,651 and 18,566.25

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Solution

The third proportional to 12,651 and 18,566.25 is: 27,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651 : 18,566.25 = 18,566.25 : x
  2. Step 2: Convert to fraction form
    12,651/18,566.25 = 18,566.25/x
  3. Step 3: Cross multiply
    12,651x = 18,566.25 × 18,566.25
  4. Step 4: Simplify right side
    12,651x = 344,705,639.06
  5. Step 5: Solve for x
    x = 344,705,639.06/12,651
  6. Step 6: Final answer
    x = 27,247.30

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Why These Related Problems?

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