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Finding the Third Proportional to 10,690.10 and 14,187.02

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Solution

The third proportional to 10,690.10 and 14,187.02 is: 18,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.10 : 14,187.02 = 14,187.02 : x
  2. Step 2: Convert to fraction form
    10,690.10/14,187.02 = 14,187.02/x
  3. Step 3: Cross multiply
    10,690.10x = 14,187.02 × 14,187.02
  4. Step 4: Simplify right side
    10,690.10x = 201,271,634.02
  5. Step 5: Solve for x
    x = 201,271,634.02/10,690.10
  6. Step 6: Final answer
    x = 18,827.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.