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Finding the Third Proportional to 16,620 and 35,700

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Solution

The third proportional to 16,620 and 35,700 is: 76,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,620 : 35,700 = 35,700 : x
  2. Step 2: Convert to fraction form
    16,620/35,700 = 35,700/x
  3. Step 3: Cross multiply
    16,620x = 35,700 × 35,700
  4. Step 4: Simplify right side
    16,620x = 1,274,490,000
  5. Step 5: Solve for x
    x = 1,274,490,000/16,620
  6. Step 6: Final answer
    x = 76,684.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.