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Finding the Third Proportional to 4,347 and 4,806

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Solution

The third proportional to 4,347 and 4,806 is: 5,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347 : 4,806 = 4,806 : x
  2. Step 2: Convert to fraction form
    4,347/4,806 = 4,806/x
  3. Step 3: Cross multiply
    4,347x = 4,806 × 4,806
  4. Step 4: Simplify right side
    4,347x = 23,097,636
  5. Step 5: Solve for x
    x = 23,097,636/4,347
  6. Step 6: Final answer
    x = 5,313.47

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.