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Finding the Third Proportional to 10,671.75 and 16,041.80

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Solution

The third proportional to 10,671.75 and 16,041.80 is: 24,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.75 : 16,041.80 = 16,041.80 : x
  2. Step 2: Convert to fraction form
    10,671.75/16,041.80 = 16,041.80/x
  3. Step 3: Cross multiply
    10,671.75x = 16,041.80 × 16,041.80
  4. Step 4: Simplify right side
    10,671.75x = 257,339,246.98
  5. Step 5: Solve for x
    x = 257,339,246.98/10,671.75
  6. Step 6: Final answer
    x = 24,114.06

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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.