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Finding the Third Proportional to 12,689.16 and 18,037.05

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Solution

The third proportional to 12,689.16 and 18,037.05 is: 25,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.16 : 18,037.05 = 18,037.05 : x
  2. Step 2: Convert to fraction form
    12,689.16/18,037.05 = 18,037.05/x
  3. Step 3: Cross multiply
    12,689.16x = 18,037.05 × 18,037.05
  4. Step 4: Simplify right side
    12,689.16x = 325,335,341.80
  5. Step 5: Solve for x
    x = 325,335,341.80/12,689.16
  6. Step 6: Final answer
    x = 25,638.85

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