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Finding the Third Proportional to 39,285 and 60,878.25

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Solution

The third proportional to 39,285 and 60,878.25 is: 94,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,285 : 60,878.25 = 60,878.25 : x
  2. Step 2: Convert to fraction form
    39,285/60,878.25 = 60,878.25/x
  3. Step 3: Cross multiply
    39,285x = 60,878.25 × 60,878.25
  4. Step 4: Simplify right side
    39,285x = 3,706,161,323.06
  5. Step 5: Solve for x
    x = 3,706,161,323.06/39,285
  6. Step 6: Final answer
    x = 94,340.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.