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Finding the Third Proportional to 45,951 and 62,361

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Solution

The third proportional to 45,951 and 62,361 is: 84,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,951 : 62,361 = 62,361 : x
  2. Step 2: Convert to fraction form
    45,951/62,361 = 62,361/x
  3. Step 3: Cross multiply
    45,951x = 62,361 × 62,361
  4. Step 4: Simplify right side
    45,951x = 3,888,894,321
  5. Step 5: Solve for x
    x = 3,888,894,321/45,951
  6. Step 6: Final answer
    x = 84,631.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.