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Finding the Third Proportional to 2,209 and 4,178

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Solution

The third proportional to 2,209 and 4,178 is: 7,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209 : 4,178 = 4,178 : x
  2. Step 2: Convert to fraction form
    2,209/4,178 = 4,178/x
  3. Step 3: Cross multiply
    2,209x = 4,178 × 4,178
  4. Step 4: Simplify right side
    2,209x = 17,455,684
  5. Step 5: Solve for x
    x = 17,455,684/2,209
  6. Step 6: Final answer
    x = 7,902.08

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.