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Finding the Third Proportional to 39,684.94 and 84,905.72

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Solution

The third proportional to 39,684.94 and 84,905.72 is: 181,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,684.94 : 84,905.72 = 84,905.72 : x
  2. Step 2: Convert to fraction form
    39,684.94/84,905.72 = 84,905.72/x
  3. Step 3: Cross multiply
    39,684.94x = 84,905.72 × 84,905.72
  4. Step 4: Simplify right side
    39,684.94x = 7,208,981,076.45
  5. Step 5: Solve for x
    x = 7,208,981,076.45/39,684.94
  6. Step 6: Final answer
    x = 181,655.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.