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Finding the Third Proportional to 4,814 and 6,117

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Solution

The third proportional to 4,814 and 6,117 is: 7,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814 : 6,117 = 6,117 : x
  2. Step 2: Convert to fraction form
    4,814/6,117 = 6,117/x
  3. Step 3: Cross multiply
    4,814x = 6,117 × 6,117
  4. Step 4: Simplify right side
    4,814x = 37,417,689
  5. Step 5: Solve for x
    x = 37,417,689/4,814
  6. Step 6: Final answer
    x = 7,772.68

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.