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Finding the Third Proportional to 4,814 and 7,737

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Solution

The third proportional to 4,814 and 7,737 is: 12,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814 : 7,737 = 7,737 : x
  2. Step 2: Convert to fraction form
    4,814/7,737 = 7,737/x
  3. Step 3: Cross multiply
    4,814x = 7,737 × 7,737
  4. Step 4: Simplify right side
    4,814x = 59,861,169
  5. Step 5: Solve for x
    x = 59,861,169/4,814
  6. Step 6: Final answer
    x = 12,434.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.