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Finding the Third Proportional to 4,481 and 4,937

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Solution

The third proportional to 4,481 and 4,937 is: 5,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481 : 4,937 = 4,937 : x
  2. Step 2: Convert to fraction form
    4,481/4,937 = 4,937/x
  3. Step 3: Cross multiply
    4,481x = 4,937 × 4,937
  4. Step 4: Simplify right side
    4,481x = 24,373,969
  5. Step 5: Solve for x
    x = 24,373,969/4,481
  6. Step 6: Final answer
    x = 5,439.40

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.