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Finding the Third Proportional to 3,254 and 3,678.50

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Solution

The third proportional to 3,254 and 3,678.50 is: 4,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254 : 3,678.50 = 3,678.50 : x
  2. Step 2: Convert to fraction form
    3,254/3,678.50 = 3,678.50/x
  3. Step 3: Cross multiply
    3,254x = 3,678.50 × 3,678.50
  4. Step 4: Simplify right side
    3,254x = 13,531,362.25
  5. Step 5: Solve for x
    x = 13,531,362.25/3,254
  6. Step 6: Final answer
    x = 4,158.38

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.