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Finding the Third Proportional to 46,837 and 71,421

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Solution

The third proportional to 46,837 and 71,421 is: 108,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,837 : 71,421 = 71,421 : x
  2. Step 2: Convert to fraction form
    46,837/71,421 = 71,421/x
  3. Step 3: Cross multiply
    46,837x = 71,421 × 71,421
  4. Step 4: Simplify right side
    46,837x = 5,100,959,241
  5. Step 5: Solve for x
    x = 5,100,959,241/46,837
  6. Step 6: Final answer
    x = 108,908.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.