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Finding the Third Proportional to 46,722 and 71,817

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Solution

The third proportional to 46,722 and 71,817 is: 110,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,722 : 71,817 = 71,817 : x
  2. Step 2: Convert to fraction form
    46,722/71,817 = 71,817/x
  3. Step 3: Cross multiply
    46,722x = 71,817 × 71,817
  4. Step 4: Simplify right side
    46,722x = 5,157,681,489
  5. Step 5: Solve for x
    x = 5,157,681,489/46,722
  6. Step 6: Final answer
    x = 110,390.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.