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Finding the Third Proportional to 4,566 and 5,814

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Solution

The third proportional to 4,566 and 5,814 is: 7,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566 : 5,814 = 5,814 : x
  2. Step 2: Convert to fraction form
    4,566/5,814 = 5,814/x
  3. Step 3: Cross multiply
    4,566x = 5,814 × 5,814
  4. Step 4: Simplify right side
    4,566x = 33,802,596
  5. Step 5: Solve for x
    x = 33,802,596/4,566
  6. Step 6: Final answer
    x = 7,403.11

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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.