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Finding the Third Proportional to 2,206 and 4,840

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Solution

The third proportional to 2,206 and 4,840 is: 10,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206 : 4,840 = 4,840 : x
  2. Step 2: Convert to fraction form
    2,206/4,840 = 4,840/x
  3. Step 3: Cross multiply
    2,206x = 4,840 × 4,840
  4. Step 4: Simplify right side
    2,206x = 23,425,600
  5. Step 5: Solve for x
    x = 23,425,600/2,206
  6. Step 6: Final answer
    x = 10,619.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.