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Finding the Third Proportional to 39,666.38 and 59,504.63

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Solution

The third proportional to 39,666.38 and 59,504.63 is: 89,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,666.38 : 59,504.63 = 59,504.63 : x
  2. Step 2: Convert to fraction form
    39,666.38/59,504.63 = 59,504.63/x
  3. Step 3: Cross multiply
    39,666.38x = 59,504.63 × 59,504.63
  4. Step 4: Simplify right side
    39,666.38x = 3,540,800,396.39
  5. Step 5: Solve for x
    x = 3,540,800,396.39/39,666.38
  6. Step 6: Final answer
    x = 89,264.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.