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Finding the Third Proportional to 12,646.13 and 18,969.19

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Solution

The third proportional to 12,646.13 and 18,969.19 is: 28,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.13 : 18,969.19 = 18,969.19 : x
  2. Step 2: Convert to fraction form
    12,646.13/18,969.19 = 18,969.19/x
  3. Step 3: Cross multiply
    12,646.13x = 18,969.19 × 18,969.19
  4. Step 4: Simplify right side
    12,646.13x = 359,830,074.41
  5. Step 5: Solve for x
    x = 359,830,074.41/12,646.13
  6. Step 6: Final answer
    x = 28,453.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.