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Finding the Third Proportional to 39,235.25 and 55,276.25

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Solution

The third proportional to 39,235.25 and 55,276.25 is: 77,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,235.25 : 55,276.25 = 55,276.25 : x
  2. Step 2: Convert to fraction form
    39,235.25/55,276.25 = 55,276.25/x
  3. Step 3: Cross multiply
    39,235.25x = 55,276.25 × 55,276.25
  4. Step 4: Simplify right side
    39,235.25x = 3,055,463,814.06
  5. Step 5: Solve for x
    x = 3,055,463,814.06/39,235.25
  6. Step 6: Final answer
    x = 77,875.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.