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Finding the Third Proportional to 46,170 and 62,673.75

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Solution

The third proportional to 46,170 and 62,673.75 is: 85,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,170 : 62,673.75 = 62,673.75 : x
  2. Step 2: Convert to fraction form
    46,170/62,673.75 = 62,673.75/x
  3. Step 3: Cross multiply
    46,170x = 62,673.75 × 62,673.75
  4. Step 4: Simplify right side
    46,170x = 3,927,998,939.06
  5. Step 5: Solve for x
    x = 3,927,998,939.06/46,170
  6. Step 6: Final answer
    x = 85,076.87

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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.