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Finding the Third Proportional to 2,210 and 4,600

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Solution

The third proportional to 2,210 and 4,600 is: 9,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210 : 4,600 = 4,600 : x
  2. Step 2: Convert to fraction form
    2,210/4,600 = 4,600/x
  3. Step 3: Cross multiply
    2,210x = 4,600 × 4,600
  4. Step 4: Simplify right side
    2,210x = 21,160,000
  5. Step 5: Solve for x
    x = 21,160,000/2,210
  6. Step 6: Final answer
    x = 9,574.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.