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Finding the Third Proportional to 39,364.88 and 83,985.75

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Solution

The third proportional to 39,364.88 and 83,985.75 is: 179,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,364.88 : 83,985.75 = 83,985.75 : x
  2. Step 2: Convert to fraction form
    39,364.88/83,985.75 = 83,985.75/x
  3. Step 3: Cross multiply
    39,364.88x = 83,985.75 × 83,985.75
  4. Step 4: Simplify right side
    39,364.88x = 7,053,606,203.06
  5. Step 5: Solve for x
    x = 7,053,606,203.06/39,364.88
  6. Step 6: Final answer
    x = 179,185.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.