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Finding the Third Proportional to 45,684 and 62,237.25

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Solution

The third proportional to 45,684 and 62,237.25 is: 84,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,684 : 62,237.25 = 62,237.25 : x
  2. Step 2: Convert to fraction form
    45,684/62,237.25 = 62,237.25/x
  3. Step 3: Cross multiply
    45,684x = 62,237.25 × 62,237.25
  4. Step 4: Simplify right side
    45,684x = 3,873,475,287.56
  5. Step 5: Solve for x
    x = 3,873,475,287.56/45,684
  6. Step 6: Final answer
    x = 84,788.44

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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.