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Finding the Third Proportional to 10,599.75 and 16,263

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Solution

The third proportional to 10,599.75 and 16,263 is: 24,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.75 : 16,263 = 16,263 : x
  2. Step 2: Convert to fraction form
    10,599.75/16,263 = 16,263/x
  3. Step 3: Cross multiply
    10,599.75x = 16,263 × 16,263
  4. Step 4: Simplify right side
    10,599.75x = 264,485,169
  5. Step 5: Solve for x
    x = 264,485,169/10,599.75
  6. Step 6: Final answer
    x = 24,952.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.