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Finding the Third Proportional to 39,403.69 and 85,505.34

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Solution

The third proportional to 39,403.69 and 85,505.34 is: 185,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,403.69 : 85,505.34 = 85,505.34 : x
  2. Step 2: Convert to fraction form
    39,403.69/85,505.34 = 85,505.34/x
  3. Step 3: Cross multiply
    39,403.69x = 85,505.34 × 85,505.34
  4. Step 4: Simplify right side
    39,403.69x = 7,311,163,809.81
  5. Step 5: Solve for x
    x = 7,311,163,809.81/39,403.69
  6. Step 6: Final answer
    x = 185,545.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.