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Finding the Third Proportional to 3,259.69 and 4,905.14

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Solution

The third proportional to 3,259.69 and 4,905.14 is: 7,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.69 : 4,905.14 = 4,905.14 : x
  2. Step 2: Convert to fraction form
    3,259.69/4,905.14 = 4,905.14/x
  3. Step 3: Cross multiply
    3,259.69x = 4,905.14 × 4,905.14
  4. Step 4: Simplify right side
    3,259.69x = 24,060,404.55
  5. Step 5: Solve for x
    x = 24,060,404.55/3,259.69
  6. Step 6: Final answer
    x = 7,381.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.