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Finding the Third Proportional to 2,230 and 4,700

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Solution

The third proportional to 2,230 and 4,700 is: 9,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230 : 4,700 = 4,700 : x
  2. Step 2: Convert to fraction form
    2,230/4,700 = 4,700/x
  3. Step 3: Cross multiply
    2,230x = 4,700 × 4,700
  4. Step 4: Simplify right side
    2,230x = 22,090,000
  5. Step 5: Solve for x
    x = 22,090,000/2,230
  6. Step 6: Final answer
    x = 9,905.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.