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Finding the Third Proportional to 39,349.50 and 84,308.63

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Solution

The third proportional to 39,349.50 and 84,308.63 is: 180,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,349.50 : 84,308.63 = 84,308.63 : x
  2. Step 2: Convert to fraction form
    39,349.50/84,308.63 = 84,308.63/x
  3. Step 3: Cross multiply
    39,349.50x = 84,308.63 × 84,308.63
  4. Step 4: Simplify right side
    39,349.50x = 7,107,944,249.39
  5. Step 5: Solve for x
    x = 7,107,944,249.39/39,349.50
  6. Step 6: Final answer
    x = 180,636.20

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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.